Question

What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)

Answer 1

Answer: -3

Explanation:

=> an = 77 + (n - 1)(-5)

Therefore,
=> a = 77
=> d = -5
=> n = 17

Substitute Values in the Formula :-

an = a + (n - 1)(d)
an = 77 + (n - 1)(-5)
a17 = 77 + (17 - 1)(-5)
a17 = 77 + 16(-5)
a17 = 77 - 80
=> a17 = -3

Hence, the 17th Term of the A.P is -3

Answer 2

a₁₇ = - 3

Explanation:

substitute n = 17 into the nth term rule

a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3