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3 years ago

Which of the following is the missing term of the geometric sequence in which a1= 2 and a3 = 200?

Mathematics

2 answers:

stellarik [79]3 years ago

5 0

A2 = 20.
The formula is a(n+1) = 10a(n)

kirza4 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Given that the first term of a geometric sequence is 2 and third term is 200.

We have to find the middle term

A geometric sequence will have terms of the form

$a,ar,ar^2,....$

Since first term is 2, $a=2$ ...i

Since third term is 200, $ar^2 =200$ ...ii

Divide equation ii by i to get

$r^2 =100\\r=10$

Because increasing sequence, r cannot be negative so only positive value is take.

II term = $ar=2(10)=20$

Hence missing term is 20

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