Question

In the sequence an = 2n2 + 1, what is 4a8 + 5a3?

Answer 1

Step-by-step explanation:

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Answer 2

The value of (4a₈+5a₃) = 611

Given:

a$_{n}$ = 2n² + 1

To find:

The value of 4a₈ + 5a₃  

Solution:

Given that nth term in sequence = 2n² + 1  

The 8th term a₈

⇒ a₈ = 2(8)² + 1  = 2(64) + 1 = 128 + 1 = 129

⇒ 4a₈ = 4(129) = 516

The 3rd term a₃  

⇒ a₃ = 2(3)² + 1 =  2(9) + 1 = 18 + 1 = 19

⇒ 5a₃ = 5(19) = 95

4a₈ + 5a₃   = 516 + 95 = 611  

The value of (4a₈+5a₃) = 611

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