Question

Find the 75th term of the following arithmetic sequence

17,20,23,26

Answer 1

Answer: 239

Explanation:

`a_(n) = a_(1) + d(n - 1)` where:

• a₁ is the value of the first term
• d is the difference
• n is the term

17, 20, 23, 26

• a = 17
• d = 3
• n = 75

a₇₅ = 17 + 3(75 - 1)

= 17 + 3(74)

= 17 + 222

= 239