Question

*the nth term of a sequence is 3n-2

(FIRST TERM= 5 / SECOND TERM= 8 )

A) which term of the sequence equal to 70

B) explain why 101 is not a term in the sequence

Answer 1

Step-by-step explanation:

nth term = 3n -2

term 1 = 3(1) - 2

= 3 - 2

term 1 = 1

term 2 = 3 (2) - 2

= 6 - 2

term 2 = 4

term 3 = 3 (3) - 2

= 9 - 2

term 3 = 7

therefore, a = 1 and d = 3

nth term = 70

70 = a + (n-1)d

= 1 + (n-1) 3

70 - 1 = ( n-1) 3

69 = (n-1) 3

69 = n-1

3

23 = n-1

23 +1 = n

therefore n = 24

therefore 24th term of the sequence = 70