what is the next number 4,7,10,13,16,_,? a. 19 b. 21 c. 23 d. 25. Created by zerotwo5380. Math

ARITHMETIC SEQUENCEWhat is the next number 4, 7, 10, 13, 16, __,? a. 19 b. 21 c. 23 d. 25Find the common difference.Following the formula of finding the nth term, Subtitute the number. (a1) is the first term, (d) is the difference, and (n) is the place of the term we were finding.Formula:Thus, the missing or the 6th term in the given sequence is 19#CarryOnLearning(ノ^_^)ノ

what is the next number 4,7,10,13,16,_,? a. 19 b. 21 c. 23 d. 25...

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what is the next number 4,7,10,13,16,_,? a. 19 b. 21 c. 23 d. 25

ichthus898

ARITHMETIC SEQUENCE

What is the next number 4, 7, 10, 13, 16, __,?

a. 19

b. 21

c. 23

d. 25

Find the common difference.

$a2 - \green{a1} = \purple d \\ a3 - a2 = \purple d \\ \\ 7 - \green4 = \purple3 \\ 10 - 7 = \purple 3$

Following the formula of finding the nth term, Subtitute the number. (a1) is the first term, (d) is the difference, and (n) is the place of the term we were finding.

$\green{a1} = \green4 \\ a2 = 7 \\ a3 = 10 \\ a4 = 13 \\ a5 = 16 \\ a \blue6 = \: \blue? \\ \\ \blue n \: = \blue6 \\ \purple d \: = \purple3$

Formula:

$a \blue{n} = \green{a1} + ( \blue n - 1) \purple d \\ a \blue{6} = \green4 + ( \blue 6 - 1) \purple 3 \\ a \blue{6} = \green4 + \blue5 (\purple 3) \\ a \blue{6} = \green4 + \blue {15} \\ a \blue{6} = \blue{19}$