Question

Is 56 , a term of arithmetic sequence 3, 10, 17,.. ?

• A. Yes
• B. No
• C. Cannot be determined

Answer 1

The correct option is B

No

a = 3 , d = 10 – 3= 7

$A_n$ = a + ( n-1 ) d = 56

3 + (n-1)7 = 56

(n-1)7 = 53

n-1 = $\frac{53}{7}$

n = $\frac{60}{7}$

Since , n is not an integer ,so, 56 is not a member of given arithmetic sequence.