Find the 11th term of the geometric sequence 10, 20, 40, ... 10,20,40,

Question

Mathematics

Ian Adams

19 May, 07:29

Find the 11th term of the geometric sequence 10, 20, 40, ... 10,20,40,

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Answers (1)

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Gloria Molina · Answer 1

11th term is 10240

Step-by-step explanation:

Step 1: Given the sequence 10,20,40. So a (1) = 10, common ration, r = 20/10 = 2 Find the 11th term using the nth term formula, a (n) = ar^n-1

⇒ a (11) = 10 * 2^10 = 10 * 1024 = 10240