wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

In an A.P., if the common difference d = – 4, and the seventh term a7 is 4, then find the first term.

Open in App
Solution

nth term of an AP is Tn=a+n-1d
For an AP with first term as 'a' and common difference as 'd', the seventh term is a + 6d.
According to the question, common difference(d) is −4 and the seventh term(a7) is 4.
So, a + 6d will be
⇒ a + 6(−4) = 4
⇒ a = 28
Hence, the first term is 28.

flag
Suggest Corrections
thumbs-up
81
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Formula for Sum of N Terms of an AP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon