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olchik [2.2K]
4 years ago
12

Write a formula for the nth term of the arithmetic sequence 1, 5, 9, 13, ……. then use the formula to find f(20).

Mathematics
1 answer:
Luba_88 [7]4 years ago
3 0
1+4(n-1)=f(n)
f(20)=77
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4 years ago
Find an for the arithmetic series with s16 = -288 And a1 =-21
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If d is the common difference between terms in the sequence \{a_n\}, then

a_1=-21
a_2=a_1+d=-21+d
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a_n=a_{n-1}+d=\cdots=-21+(n-1)d

You're told that S_{16}=-288 (the sum of the first 16 terms in the sequence, presumably). Well, we know that

S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)
S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n

Recall that

\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2

so that we have

-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25

So we get

\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}
8 0
3 years ago
one box holds 16 crayons another box holds 24 crayons write a sentence using words that compare the crayons in two boxes.
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Dmitry_Shevchenko [17]

Answer:

72 is the mode

Step-by-step explanation:

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7 0
4 years ago
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vekshin1
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3 years ago
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