Question

Find 1st 2nd 3rd 4th and 10th nTH term. rule is 3n+4

Answer 1

7, 10, 13, 16 and 34

Explanation:

`let \: t_(n) = 3n + 4 \\ when \: n = 1 \\ t_(1) = 3.1 + 4 = 3 + 4 = 7 \\ \\ when \: n = 2 \\ t_(2) = 3.2 + 4 = 6 + 4 = 10 \\ \\ \ when \: n = 3 \\ t_(3) = 3.3 + 4 = 9+ 4 = 13 \\ \\ when \: n = 4 \\ t_(4) = 3.4 + 4 = 12+ 4 = 16 \\ \\ when \: n = 10 \\ t_(10) = 3.10 + 4 = 30+ 4 = 34 \\ \\`

Thus the 1st, 2nd, 3rd, 4th and 10th terms are 7, 10, 13, 16 and 34 respectively