in an AP the second term is 15 and the difference of the 5th term from the 15th term is 40.find the 20th term of the AP
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The second term of an arithmetic progression (A.P.) is 15
a+d=15(1)
where a and d is denotes the first term and common difference of the A.P., respectively.
The fifth term of the A.P. is 21
a+4d=21(2)
(2)−(1)
3d=6
d=6/3
d=2
Substitute d=2 in (1)
a+2=15
a+2−2=15−2
a=13
t20 = 13 + (19)(2)
= 51
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