F(1)= 2, f(n) = f(n - 1) + 7 what's the 10th term?

Answer 1

F(1)= 2, f(n) = f(n - 1) + 7 what's the 10th term?

Since f(n) = f(n-1) + 7, we can find the first few terms to recognize a pattern.

f(1) = 2

f(2) = f(1) + 7 = 2 + 7 = 9

f(3) = f(2) + 7 = 9 + 7 = 16

f(4) = f(3) + 7 = 16 + 7 = 23

We can quickly see that there is a common difference of d = 7, which means that we have an arithmetic sequence, and that we can use the appropriate formula

The formula for an arithmetic sequence is a_n = a₁ + d * (n-1)

a₁₀ = 2 + 7 * (10-1) = 2 + 7 * 9 = 2 + 63 = 65

f(10) = 65

Answer 2

In explicit form

a₁₀ = 2 + (9)(7)

Can you compute and answer?