if a1,a2,........,an+1 arev in ap,then
1a1a2+1a2a3+......1anan+1 is.....??????
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2 Answers
Sayantan Hazra
·2013-08-19 03:48:19
try to change 1a1a2 in the form of k(1a1 - 1a2) and then solve.....
- Astha Gupta ....????....that will be equal to...k(a2-a1)/a1a2......so how it gonna help me...????...Upvote·0· Reply ·2013-08-19 09:50:20
- Astha Gupta ......????....:(
Sayantan Hazra
·2013-08-28 06:00:48
1a1a2 = k(1a1 - 1a2)
→ 1 = k(a2 - a1)
→ 1 = kd, d: common difference
→ k = 1d
Hence, we can write all the terms as:
1a1a2 = 1d(1a1 - 1a2) ...................(1)
1a2a3 = 1d(1a2 - 1a3) ......................(2)
and so on, till
1an-1an = 1d(1an-1 - 1an)....................(n)
Now add all these to get the required sum