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2 years ago

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

Mathematics

1 answer:

yuradex [85]2 years ago

6 0

The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>

<h3>The nth term of an arithmetic progression</h3>

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<u> 24, 30, 36, 42, 48, 54, 60</u>

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

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Please check attachment for complete and detailed solution.

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