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Sav [38]
2 years ago
7

Consider the arithmetic sequence where the 15th term is 0 and the 40th term is -50.

Mathematics
1 answer:
ira [324]2 years ago
3 0

Answer:

a_n=28-2(n-1)

Step-by-step explanation:

We want to find the formula for this problem in the explicit form of:

a_n=a_1+d(n-1), where a_n is the nth term, a_1 is the first term, and d is the common difference

Here, we can say that the "first term" is the 15th term, which is 0, so instead of a_1, we have a_15. The nth term is the 40th term, which is -50, so instead of a_n, we have a_40:

a_n=a_1+d(n-1)

a_{40}=a_{15}+d(40-15)

-50=0+d(25)

d = -2

Now, we need to find the first term:

a_{15}=a_1+d(15-1)

0=a_1+(-2)(14)

a_1 = 28

Finally, our equation is: a_n=28-2(n-1)

Hope this helps!

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A sum of money was to be shared among three friends,Albert,Micheal,Moses in the ratio 3:5:6.if Micheal receives $45,find the sum
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The sum of the money shared is $1372

Step-by-step explanation:

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7 0
2 years ago
If m&lt;mkl=83. m&lt;jkl=127. and m&lt;jkm=(9x-10). find the value of x
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MKL = 83, JKL = 127, JKM = 9x - 10        <em>given</em>

JKL + MKL = JKM                                    <em>angle addition postulate</em>

127 +  83  = 9x - 10                                 <em>substitution</em>

       210   = 9x - 10                                  <em>simplify (add like terms)</em>

       220  = 9x                                          <em>addition property of equality</em>

        \frac{220}{9} = x

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