Question

Use the explicit formula to determine the 50th term in the sequence: 2,5,8,11,14,...

Answer 1

Answer:

149

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

a₅₀ = 2 + (49 × 3) = 2 + 147 = 149