Question

Please anyone help me solve this question am giving the brainliest

Answer 1

Answer:

(i) 4n - (2n + 1) = 5n + 1 - (4n)

Since it is arithmetic sequence :

The differences between each term are equal

Term 2 - Term 1 = Term 3 - Term 2

4n - 2n - 1 = 5n + 1 - 4n ( solve for n)

2n - 1 = n + 1

2n - n = 1 + 1

n = 2

(ii) sub n in any term

1st term = 2n + 1 = 2(2) + 1 = 5

2nd term = 4n = 4(2) = 8

3rd term = 5n + 1 = 5(2) + 1 = 11

The difference is 3 between each term

4th term = 3rd term + 3 = 11 + 3 = 14

5th term = 4th term + 3 = 14 + 3 = 17

pattern : 5, 8, 11, 14, 17

(iii) sum = 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

= 124

Or you can use the sum equation, it's left up to you.