Question

If the nth term of progression is 4n-10 show that it is an ap find its first term coomwn deference and 16th term

Answer 1

Answer:

a = -6

d = 4

16th term = 54

Step-by-step explanation:

nth term = 4n - 10

1st term = a1 = 4(1) - 10 = 4 - 10 = -6

2nd term = a2 = 4(2) - 10 = 8 - 10 = -2

3rd term = a3 = 4(3) - 10 = 12 - 10 = 2

common difference

a2 - a1 = a3 - a2

-2 - (-6) = 2 - (-2)

- 2 + 6 = 2 + 2

4 = 4

common difference = 4

16th term = a + 15d

= (-6) + 15(4)

= - 6 + 60

= 54

hope you get your answer