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Gala2k [10]
3 years ago
11

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:

20

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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I think the answer is 10 because:

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so, 2x=20

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therefore x=10

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Have an awesome day! :)
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