Question

The sum of the 5th and 7th terms of an AP is 52 and the 10th term is 46.Find the A.P.​

Answer 1

Answer:

the A.P is=1,6,11,16,21,26,31,36,41,46

Step-by-step explanation:

T5+T7=52

T10=46

nth term of an ap is = a+(n-1)d

T5+T7=a+(5-1)d+a+(7-1)d=52

2a+10d=52

a+5d=26 (equation 1)

T10=a+(10-1)d=a+9d

a+9d=46 (equation 2)

subtract equation 1 and 2

a+5d=26

a+9d=46

-   -     -

  -4d=-20

    d=5

substitute in equation 1

a+5*5=26

a+25=26

a=25-26

a=1

the ap is=1,6,11,16,21,26,31,36,41,46