Question

is 684 a term of the arithmetic sequence :7,29,51

Answer 1

no. it was not the term of this AP

Answer 2

Answer:

No, it is not a term of AP

Step-by-step explanation:

Given sequence :- 7, 29, 51 . . .

We can see that first term a = 7

Common difference of AP, which is calculated by substracting any term from preeceeding term is 22 ( 29 -7 ) or (51 - 29).

We can find whether 684 is a term of AP or not by assumption method. Let's assume that 684 is a term of AP.

→ An = A + (n-1) d

Here,

• An = nth term
• A = first term
• n = number of terms
• d = common difference

→ 684 = 7 + (n - 1) (22)

→ 684 - 7 = 22n - 22

→ 677 = 22n - 22

→ 677 + 22 = 22n

→ 699 = 22 n

→ 699 / 22 = n

→ 31.7 = n

Since decimal from is not possible, it is not a term of AP.