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What is the fourth term of the sequence? an=2 ⋅ 4n−2 Enter your answer in the box. a4=

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Answer:


a_4=32

Explanation:

The given sequence is
a_n=2\cdot4^(n-2)

In order to find the fourth term, substitute n = 4


a_4=2\cdot4^(4-2)

The exponent becomes 4 -2 = 2


a_4=2\cdot4^(2)

Now, 4^2 = 16. Hence, we have


a_4=2\cdot16

Finally, multiply 2 and 16


a_4=32

Hence, the fourth term is 32.

User Tashana
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