Find the Next Number of Series: 3, 4, 8, 17, 33, 58 GMAT Problem Solving

Question: Find the next number of series: 3, 4, 8, 17, 33, 58.

1. 68
2. 88
3. 94
4. 99
5. 113

Solution and Explanation:

Approach Solution (1):

In the series of 3, 4, 8, 17, 33, 58.
The next numbers in sequence shall be 94
Explanation given below for next numbers in sequence.

4-3=1 i.e., Difference of two consecutive numbers is 1 or square of 1=1
8-4=4. i.e., Difference of two consecutive numbers is 4 or square of 2 =4
17-8=9. i.e., Difference of two consecutive numbers is 9 or square of 3 = 9
33-17=16 i.e., Difference of two consecutive numbers is 16 or square of 4=16
58-33=25 i.e., Difference of two consecutive numbers is 25 or square of 5=25
94-58=36 i.e., Difference of two consecutive numbers is 36 or square of 6=36

Therefore series will be 3, 4, 8, 17, 33, 58, 94.

Correct Option: C

Approach Solution (2):

Series is:

a, a+1=b, b+(1+3)=c, c+(1+3+5)=d, d+(1+3+5+7)=e, e+(1+3+5+7+9)=f,…….

Comparing it with given problem:

a = 3
b = 3 + 1 = 4
c = 4 + (1 + 3) = 8
d = 8 + (1 + 3 + 5) = 17
e = 17 + (1 + 3 + 5 + 7) = 33
f = 33 + (1 + 3 + 5 + 7 + 9) = 58
g = 58 + (1 + 3 + 5 + 7 + 9 + 11) = 94

So 94 is the answer

Correct Option: C

Approach Solution (3):

We will use the logic:

\(T_n=T_{n-1}+n^2,T_1=4\)

So the solution of this question will be: 94

\(4+2^2=4+4=8\)
\(8+3^2=8+9=17\)
\(17+4^2=17+16=33\)
\(33+5^2=33+25=58\)
\(58+6^2=58+36=94\)

So the next term of the series 3, 4, 8, 17, 33, 58 is 94.

Correct Option: C

“Find the next number of series: 3, 4, 8, 17, 33, 58”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Suggested GMAT Problem Solving Samples

• The Figure Shown Above Consists of a Shaded 9-Sided Polygon GMAT Problem Solving
• A list of measurements in increasing order is 4, 5, 6, 8, 10 and x GMAT Problem Solving
• Company C Sells a Line of 25 Products with an Average Retail Price of $1,200 GMAT Problem Solving
• A Man has 1044 Candles. After Burning, He can Make a New Candle GMAT Problem Solving
• An Equilateral Triangle ABC is Inscribed in Square ADEF GMAT Problem Solving
• A Popular Website Requires Users to Create a Password Consisting of Digits Only GMAT Problem Solving
• A Furniture Store Sells Only Two Models of Desks, Model A and Model B GMAT Problem Solving
• A conference room is equipped with a total of 45 metal or wooden chairs GMAT Problem Solving
• A welder received an order to make a 1 million litre cube-shaped tank GMAT Problem Solving
• After 6 games, Team B had an average of 61.5 points per game GMAT Problem Solving
• If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water GMAT Problem Solving
• A contractor estimated that his 10-man crew could complete the construction GMAT Problem Solving
• A circle is inscribed in a square with the diagonal of 4 centimeters GMAT Problem Solving
• At a dog competition, a dog is awarded 10 points if it runs through 4 pipes GMAT Problem Solving
• If t/u= x/y and t/y=u/x where t, u, x, and y are non-zero integers, which of the following is true? GMAT Problem Solving
• A farm has chickens, cows and sheep GMAT Problem Solving
• In how many different ways can a group of 8 people be divided into 4 teams of 2 people each? GMAT Problem Solving
• If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other? GMAT Problem Solving
• If the equation |x|+|y|= 5 encloses a certain region on the graph, what is the area of that region? GMAT Problem Solving
• If a+b+c = 0 and a^3+b^3+c^3 = 216, what is the value of a∗b∗c ? GMAT Problem Solving
• If a polygon has 44 diagonals, then how many sides are there in the polygon? GMAT Problem Solving
• If (a1 + a2 + a3 + .... +an) = 3(2n+1 - 2), for every n≥1, then a11 equals GMAT Problem Solving
• A chord of a circle is equal to its radius GMAT Problem Solving
• A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days GMAT Problem Solving
• A Container in the Shape of a Right Circular Cylinder is 1/2 GMAT Problem Solving
• How many multiples of 7 are there between 21 and 343, exclusive? GMAT Problem Solving
• GMAT Problem Solving- Find the greatest number that will divide 43, 91 and 183
• If \(2^{98}=256L+N\) , Where L and N are Integers and \(0 \leq N \leq 4\) , What is the Value of N? GMAT Problem Solving
• What is the Value of x? 1) x^2 + x + 10 = 16 2) x = 4y^4+2y^2+2 GMAT Problem Solving
• For How Many Values of k is 12^12 the Least Common Multiple GMAT Problem Solving
• Is Square Root = Always Positive? GMAT Problem Solving
• \(\frac{15^{11}-15^{10}}{14}=?\) GMAT Problem Solving
• For How Many Values of k is 12^12 the Least Common Multiple GMAT Problem Solving
• Which of the following is greatest? GMAT Problem Solving
• The Cost Price of 20 Articles is The Same as The Selling Price of x Articles GMAT Problem Solving
• In The Figure Shown, If The Area of The Shaded Region is 3 Times The Area of The Smaller Circular Region GMAT Problem Solving
• A Regular Hexagon has a Perimeter of 30 units GMAT Problem Solving
• All the Numbers 2, 3, 4, 5, 6, 7 are Assigned to the Six Faces of a Cube, One Number to Each Face GMAT Problem Solving
• If it is true that x > -2 and x < 7, which of the following must be true? GMAT Problem Solving
• In a Drawer, There are 4 White Socks, 3 Blue Socks, and 5 Grey Socks GMAT Problem Solving
• A contractor estimated that his 10-man crew could complete the construction GMAT Problem Solving
• A circle is inscribed in a square with the diagonal of 4 centimeters GMAT Problem Solving
• At a dog competition, a dog is awarded 10 points if it runs through 4 pipes GMAT Problem Solving
• Two consultants, Mary and Jim, can type up a report in 12.5 hours and edit it in 7.5 hours GMAT Problem Solving
• Find The Value Of x GMAT Problem Solving
• 4 Out Of 15 Apples Are Rotten GMAT Problem Solving
• Points A And B Are 120 Km Apart. A Motorcyclist Starts From GMAT Problem Solving
• A student took five papers in an examination, where the full marks GMAT Problem Solving
• In how many ways can letters the word ATTITUDE be rearranged such that GMAT Problem Solving
• A merchant mixes three varieties of rice costing $20/kg, $24/kg GMAT Problem Solving