Consecutive terms in an arithmetic sequence differ by a constant

. So



Denote the

-th term in the sequence by

. Now that

, we have

which means
-5(r - 6) + 3(-8 + 8r) = -32
STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38
STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2
FINAL ANSWER: r = -2</span></span></span>
Answer:
you are multiplying by 7
Step-by-step explanation:
so like 3 x 7 = 21
4 x 7 = 28
6 x 7 = 42
9 x 7 = 63
10 x 7 = 70
hope it helps
Suppose a square is 100%, 50%: the square is divided into two equal parts, and one of them is shaded, therefore it is 50%. 25%: the square is divided into 4 equal parts, and one of them is shaded, therefore it is 25%. 150%: there are two squares, each divided into 2 equal parts, and 3 of them is shadowed, therefore it is 150%