# The nth term of a sequence is 3n + 2 A) work out the first 3 terms in the sequence B) work out the 10th term in the sequenc?

The first term is when n= 1 3(1)+2 = 3+2 = 5 The second term is when n= 2 3(2)+2 = 6+2 = 8 The third term is when n=3 3(3)+2 = 11 The tenth term is when n=10 3(10)+2 = 30+2 = 32

1st term: 3*1+2=5 2nd term: 3*2+2=8 3rd term: 3*3+2=11 10th term: 3*10+2=32

n can take any value, in part A, let n=1,2,3. When n=1, 3(1)+2=5 n=2, 3(2)+2= 8 n=3, 3(3)+2= 11 For part B, the 10th term indicates n=10, hence 3(10)+2= 32

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

N represents the number of term A) for the 1st three terms, just substitute n with 1,2 and 3 1st term: 3(1) + 2 = 5 2nd term: 8 3rd term: 11 B) 10th term: 3(10)+2= 32 You can check the answer by using the method: if n is the number of term, then 3n would represent multiples of 3. In this question, the answer will always be 2 more than any multiples of 3 (given n is a number)