Question

Given the Arithmetic sequence A1,A2,A3,A4 A1,A2,A3,A4 45, 58, 71, 84 What is the value of A43 A43 ?

Answer 1

The rule for the Arithmetic sequence is adding 13

The formula is given in the form

`n_(th)` term =
`dn- 0^(th)` term. where
`d` is the difference between consecutive terms

We have
`d=13` and the
`0^(th)` term = 45 - 13 = 32

The formula for the sequence in question is given by

`n_(th)` term = 13n + 32

Hence, the
`43^(th)`term is given = 13(43) + 32 = 591