Question

the nth term of the A.P. 58, 60, 62, … is equal to the nth term of the

A.P. -2, 5, 12, … , find the value of n​

Answer 1

Answer:

n=13

Step-by-step explanation:

A.P. 58, 60, 62

a=58, d=60-58=2

An=a+(n-1)d

An1=58+(n-1)2

An1=58+2n-2

An1=2n-2+58

An1=2n+56

A.P. -2, 5, 12,

a=(-2), d=5-(-2)=5+2=7

An=a+(n-1)d

An2=(-2)+(n-1)7

An2=(-2)+7n-7

An2=7n-7-2

An2=7n-9

An1=An2

2n+56=7n-9

2n-7n=(-9)-56

(-5n)=(-65)

5n=65

n=65/5

n=13