Advertisement Remove all ads

Find the next 4 terms of the sequence 16,14,13. Also find Sn - Algebra

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Find the next 4 terms of the sequence `1/6, 1/4, 1/3`. Also find Sn 

Advertisement Remove all ads

Solution

The given sequence is `1/6, 1/4, 1/3`

The above sequence is an A.P.

∴ a = `1/6`, d = `1/4 -1/6` = `(3 - 2)/12 = 1/12`

The next four terms of the sequence are

t4 = t3 + d = `1/3 + 1/12 = 5/12`

t5 = t4 + d = `5/12 + 1/12 = 6/12 = 1/2`

t6 = t5 + d = `1/2 + 1/12 = 7/12`

t7 = t6 + d = `7/12 + 1/12 = 8/12 = 2/3`

Sn = `"n"/2 [2"a" + ("n" - 1)"d"]`

= `"n"/2 [2(1/6) + ("n" - 1)(1/12)]`

= `"n"/2 (1/3 + 1/12 "n" - 1/12)`

= `"n"/2("n"/12 + 1/4)`

∴ Sn = `("n"("n" + 3))/24`

Concept: Sum of First n Terms of an AP
  Is there an error in this question or solution?
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×