is 684 a term of the arithmetic sequence :7,29,51
Answers
Answered by
6
no. it was not the term of this AP
Attachments:
Answered by
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.
Similar questions