# Find the common difference and the 8th term of the arithmetic progression 7,11,15,19

2
by jorr

2015-09-13T10:30:52+08:00

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The common difference is 4.
The 8th term is 35.
In the sequence*) 7 + 4 = 11 + 4 = 15 + 419 + 423 + 427 +431 + 435

• Brainly User
2015-09-14T08:37:26+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Common difference: 11-7 = 4
15-11 = 4
19-15 = 4
Common difference = 4

To solve for any term after 19 in this arithmetic sequence, use the formula:
an = a1 + (n-1) (d)

Looking for 8th term:
n = 8
a1 = 7
d (common difference) =4

a8 = 7 + (8-1) (d)
a8 = 7 + (7)(4)
a8 = 7 + 28
a8 = 35

The 8th term is 35.

(It's very important that you know the formula, so you can solve even the hundredth term of the given arithmetic sequence).