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Sav [38]
3 years ago
7

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

Mathematics
1 answer:
ira [324]3 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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