Little Different

Algebra Level 2

Find the value of r in the sequence:-

r , d, 2d, 4d, 8d, 160


The answer is 5.

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2 solutions

Tom Engelsman
Sep 26, 2020

The second through the sixth terms form a geometric progression according to:

2 0 d , 2 1 d , 2 2 d , 2 3 d , 2 4 d 2^{0}d, 2^{1}d, 2^{2}d, 2^{3}d, 2^{4}d .

If 2 4 d = 160 2^{4}d = 160 , then d = 10. d=10. The first term can then be computed as r = 2 1 d = 10 2 = 5 . r = 2^{-1}d = \frac{10}{2} = \boxed{5}.

This question is little different.

Here r is radius and is diameter.

So. by evaluating d is 10 and therefore r is 5

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