Question

1,5,29,?
(A)-256
(B)-196
(C)-259
(D)-324

Answer 1

Answer:

Required term is 259.

So,Option C is the correct answer.

Step-by-step explanation:

Given , 1,5,29,?

This is a math of GI.

This is a missing number problem.

First we can notice that this series maintain a sequence i.e

${1}^{1} + 0 = 1 \\ {2}^{2} + 1 = 5 \\ {3}^{3} + 2 = 29 \\ {4}^{4} + 3 = 256 + 3 = 259 \\ {5}^{5} + 4 = 3125 + 4 = 3129 \\ {6}^{6} + 5 = 46661$

and so on......

Here we need to find 4th term.

I.e

${4}^{4} + 3 = 256 + 3 = 259$

Required term is 259.

Answer 2

The correct option is, (C)-259.

What is geometric progression with example?

• A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
• For example, the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.

How do you solve geometric progressions?

• In a geometric progression, each successive term is obtained by multiplying the common ratio to its preceding term.
• The formula for the nth term of a geometric progression whose first term is a and common ratio is r is, an=arn-1.

According to the question:

Given , 1,5,29,?

This is a math of GI.

This is a missing number problem.

First we can notice that this series maintain a sequence i.e.

$1^{1}+0=1\\ 2^{2}+1=5\\ 3^{3}+2=29\\ 4^{4}+3=256+3=259\\ 5^{5}+4=3125+4=3129\\ 6^{6}+5=46661$

and so on......

Here we need to find 4th term.

I.e

$4^{4}+3=256+3=259$.

Hence, the Required term is 259.

Learn more about geometric progression here,

https://brainly.in/question/33084041?msp_poc_exp=5

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