The sum of 5th and 9th terms of AP is 72 and the sum of 7th and 12th term is 97 find AP

The AP is 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61

Step-by-step explanation:

The nth term = a1 + d(n - 1)

Sum of 5th and 9th terms

= a1 + 4d + a1 + 8d = 72

2a1 + 12d = 72(1)

Similarly:

a1 + 6d + a1 + 11d = 97

2a1 + 17d = 97(2)

Subtracting equation (1) from equation (2):

5d = 25

d = 5.

and , using equation (1), the first term

a1 = (72 - 12(5)) / 2

= 12/2

= 6.

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation: