In an A P ,common difference for 4 If the sum of reciprocal of two adjacent terms of - Maths - Arithemetic Sequences

Question

In an A P ,common difference for 4 If the sum of reciprocal of two
adjacent terms of this sequence is 4 bi 15 What you the terms?

Rishabh Mittal · Accepted Answer

Let the first term be xnext term will be x+4so, A
T
Q1x+1x+4=415x+4+xxx+4=4152x+4x2+4x=41530x+60=4x2+16x4x2-14x-60=02x2-7x-30=0x=7±49-42-3022=7±49+2404=7±2894=7±174=244 and -104=6 and -2
5So, terms are 6 and 10 or -2
5 and 1 5

In an A.P. ,common difference for 4. If the sum of reciprocal of two adjacent terms of this sequence is 4 bi 15. What you the terms?