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3 years ago

12

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic

sequence? The common difference is

2 answers:

Anna [14]3 years ago

8 0

Answer:

the common difference = 1.5

Step-by-step explanation:

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7

a7 = 10.2

a12= 17.7

Use the formula for nth term

$a_n= a_1+(n-1)d$

where 'd' is the common difference

n is the number of terms

a1 is the first term

$a_7= a_1+(7-1)d$

$10.2= a_1+6d$ ---> equation 1

$a_12= a_1+(12-1)d$

$17.7= a_1+11d$ -------------> equation 2

Subtract equation 2 - equation 1

$17.7= a_1+11d$

$10.2= a_1+6d$

---------------------------------------

7.5 = 5d

divide by 5 on both sides

d= 1.5

So the common difference = 1.5

marshall27 [118]3 years ago

3 0

7 = 10.2
12 = 17.7
Let's take
d = 17.7 - 10.2/ 12 - 7
d = 7.5/ 5
d = 1.5
The common difference is 1.5

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