Q1.

Sequence 1: 140,133,126...

Sequence 2: -59, -54, -49...

a) Find the nth term for each sequence and prove that the 17th term is the same on both sequences

b) there are 6 terms that are common to both sequences - can you find them all without writing out both sequences?

a)

S1: -7n+147

S2: 5n-64

therefore the 17th term is:

S1: -7(17)+147 = -119+147 = 28

S2: 5(17)-64 = 85-64 = 21

But the 17th term is not the same!

Also, i cannot find 6 terms that are common; for them to be common I've put -7n+147 = 5n-64 -> 211=12n - > n=211/12 - > but thats not an integer so not sure how to use this to find common terms - where am i going wrong?