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What's the 4th term of the sequence defined by An=2a(n-1)+4;a1=7??

1 Answer

5 votes

Answer:

84

Explanation:

The sequence is:

An=2a(n-1)+4

The first term is:

a1=7

So, lets find out A2.

A2 = 2A(2-1) +4

A2 = 2*A1 + 4

A2 = 2*7 + 4

A2 = 14 + 4 = 18

The third term, A3 is:

A3 = 2A(3-1) +4

A3 = 2*A2 + 4

A3 = 2*18 + 4 = 36+4 = 40

Finally, the fourth term, A4 is:

A4 = 2A(4-1) +4

A4 = 2*A3 + 4

A4 = 2*40 + 4 = 80+4 = 84

The 4th term is 84.

User Amy Anuszewski
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