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yaroslaw [1]
3 years ago
9

What is the common difference d of the sequence? −15, −4, 7, 18, 29, ...

Mathematics
2 answers:
raketka [301]3 years ago
5 0

Answer:

The common difference is 11

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between consecutive terms is a constant called the common difference

so

In this problem we have

-15,-4,7,18,29,...

Let

a1=-15\ a2=-4\ a3=7\ a4=18\ a5=29

Find the difference between consecutive terms

a5-a4=29-18=11

a4-a3=18-7=11

a3-a2=7-(-4)=11

a2-a1=-4-(-15)=11

therefore

The sequence is an Arithmetic Sequence

The common difference is 11


Andreas93 [3]3 years ago
4 0
I think that it is 11...
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\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x

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\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .

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Step-by-step explanation:

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