Question

Terms after 5,15,45,135,405...

Answer 1

Answer:

1215 is your answer.

if you are asking after this one term

in other way ..1215 , 3645, 10935 , 32805........so on ..

...

How it's come

5×3 = 15

15×3 = 45

45×3 = 135

135 × 3 = 405

405 ×3 = 1215 ........

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Answer 2

Complete series is 5, 15, 45, 135, 405, 1215, 3645...

Step-by-step explanation:

Given:

5, 15, 45, 135, 405...

Let a = 5

b = 5 X 3 = 15

c = 5 X 3 X 3 = 45

d = 5 X 3 X 3 X 3 = 135

e = 5 X 3 X 3 X 3 X 3 = 405

So, the given series is in the form of:

$a, ar, ar^{2}, ar^{3}, ar^{4}....$

This is a geometric progression.

• A geometric progression is a sequence where every term bears a constant ratio to its preceding term.

• In order to get the next term in the geometric progression, we have to multiply with a fixed term known as the common ratio, every time, and if we want to find the preceding term in the sequence, we just have to divide the term with the same common ratio.

• So, the further terms in this series can be determined by multiplying the preceding term with 3.