Question

The third and sixth terms of an AP are 16 and 37 respectively. Find the first term and the common difference.​

Answer 1

Answer:

d=-7 a=2

Step-by-step explanation:

3 rd term means

a + 2d equation 1

6th term means

a + 5d equation 2

subtracting equation 1 and 2

a + 2d = 16

- a + 5d = 37

- 3d = -21

3d = 21

d = 21/3

d = 7

substituting d value in equation 1

a + 2d = 16

a + 2(7) = 16

a + 14 = 16

a = 16 - 14

a = 2

Answer 2

Answer:

We know the 3rd term = a+2d=16 _____1

6th term = a+5d=37 ___2

2 - 1

3d=21

d=7 (common difference)

substituting the value in any one of the equations.

a=2 (first term)