Find the indicated term of the arithmetic sequence. 22nd term: a1 = 7; d = 4

The 22nd term of the arithmetic sequence is:
.

91

Step-by-step explanation:

   a(n) = a +(n-1)d

   a(n) = 7+(n-1)4

   a(22) = 7+(22-1)4

            =91

hope this helps

see explanation

Step-by-step explanation:

(1)

She had $11 left from $59,

she therefore spent $59 - $11 = $48

divide $48 by 6 to find cost of one book, that is

cost of book = $48 ÷ 6 = $8

(2)

consecutive numbers have 1 between them

let n, n + 1 and n + 2 be the three numbers. then

n + n + 1 + n + 2 = 102 ( sum of 3 numbers )

3n + 3 = 102 ( subtract 3 from both sides )

3n = 99 ( divide both sides by 3 )

n = 33

The 3 numbers are 33, 34 and 35

33 is the smallest of the three