Question

Find the 10th term of the arithmetic sequence 3x + 4, x+10, -x+ 16, ...

Answer 1

Answer: x + 10

Explanation:

The 10th term of the arithmetic sequence will be:

= a + 9d

where a = 3x + 4

d = x + 10 - (3x + 4)

= x + 10 - 3x - 4

= -2x + 6

Therefore, a + 9d = 3x + 4 + (-2x + 6)

= 3x + 4 - 2x + 6

= 3x - 2x + 4 + 6

= x + 10