Question 17 of 20 Find the indicated term of the arithmetic

Question 17 of 20 Find the indicated term of the arithmetic sequence with first term, at, and common difference, d. Find a6 when al = 13, d-4 O A. 36 B. 63 0 C. 43 O D. 33 Reset Selection Mark for Review What\'s This? Next Save

Solution

17)

Given that a₁ = 13,d = 4.

a_n = a₁+(n-1)d

a₆ = 13+(6-1)4

= 13+(5)4 = 13+20 = 33

therefore a₆ = 33.

20) Given a_n = a_n-1+6, a₁ = -9

a₂ = a₁+6 = -9+6 = -3

a₃ = a₂+6 = -3+6 = 3

a₄ = a₃+6 = 3+6 = 9

   a₅ = a₄+6 = 9+6 = 15

   a₆ = a₅+6 = 15+6 = 21

therefore the arithmetic sequence is -9, -3, 3, 9, 15, 21