Question

find 16 th term of an A.P. , if sum of its fifth and sixth term is 14 and the sum of the eleven and fourteenth term is 56.​

Answer 1

Step-by-step explanation:

Let the first term is a and common difference is d

Let the first term is a and common difference is da14=a+(14−1)d=a+13d

Let the first term is a and common difference is da14=a+(14−1)d=a+13da8=a+(8−1)d=a+7d

Let the first term is a and common difference is da14=a+(14−1)d=a+13da8=a+(8−1)d=a+7da6=a+(6−1)d=a+5d

Put value a=−d in equation (2) we get