If the 2nd term of AP is 13 and the 15th
term is 25, what it is its seventh term
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a+d=13
a=13-d .....(1)
a+14d=25
putting an. 1 in 15th term
13-d+14d=25
13+13d=25
13d=25-13
d=12÷13
now a=13×12-12/13
a=156-12÷13
a=144/13
finding 7th term
a+6d=144/13+12/13
144+12/13= 156/13=12
show the 7th term is 12
hope it helps ✌
a=13-d .....(1)
a+14d=25
putting an. 1 in 15th term
13-d+14d=25
13+13d=25
13d=25-13
d=12÷13
now a=13×12-12/13
a=156-12÷13
a=144/13
finding 7th term
a+6d=144/13+12/13
144+12/13= 156/13=12
show the 7th term is 12
hope it helps ✌
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