Question

Given the Arithmetic sequence A1,A2,A3,A4 28, 33, 38, 43 What is the value of A11?

Answer 1

Solutions

We are given the Arithmetic sequence -
A1,A2,A3,A4
28,33,38,43

As we know the common difference can be found by subtracting the first term from the second term.

33 - 28 = 5 ((the common difference (d) = 5))


`an = a1 + (n - 1) * d`

The variable n = the term you want to find which is = 11


`a1 = 1 term = 28`

d = difference = 5

Subtraction


`a11 = 28 + (11 - 1) * 5 a11 = 28 + 10 * 5 a11 = 28 + 50 a11 = 78`

Answer 2

28,33,38,43

the common difference can be found by subtracting the first term from the second term.....33 - 28 = 5....so the common difference (d) = 5

an = a1 + (n - 1) * d
n = the term u want to find = 11
a1 = first term = 28
d = common difference = 5
now we sub
a11 = 28 + (11 - 1) * 5
a11 = 28 + 10 * 5
a11 = 28 + 50
a11 = 78