Question

in an ap the 10th term is 46 sum of the 5th and 7th term is 52 find the ap

Answer 1

Hey

Here is your answer,

Let a and d be first term and common difference of ap

10th term=46
a+9d=46------------------------eq(1)

5th +7th term=52
a+4d+a+6d=52
2a+10d=52
a+5d=26--------------------------eq(2)

4d=20
d=5
Put d=5 in eq(1)
a+45=46
a=1

Hence reqd ap=1,6,11,16,21

Hope it helps you!