Question

22. Find the missing terms indicated by variables in the arithmetic sequence shown.

Answer 1

The complete sequence is 24, 30, 36, 42, 48, 54, 60

The nth term of an arithmetic progression

The nth term of an arithmetic progression is expressed according to the equation;

Tn = a + (n-1)d

where

a is the first term

n is the number of terms

d is the common difference

Determine the common difference

d = 42-b = b - 30

-b-b = -30-42

-2b = -72

b = 36

d = 36-30

d = 6

For the first term;

d = 30 - a

6 = 30 - a

a = 24

For the value of c

c = 42 + 6

c = 48

For the value of d

d = 48 + 6

d = 54

For the value of e

e = 54 + 6

e = 60

Hence the complete sequence is 24, 30, 36, 42, 48, 54, 60

Learn more on arithmetic sequence here: brainly.com/question/24989563

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