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cestrela7 [59]
3 years ago
6

The first term of an arithmetic sequence is -3 and the 15th term is 53. What is the common difference of the sequence?

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

c = 4

Step-by-step explanation:

Let the common difference be c.  Then a(n) = -3 + c(n-1).  Since a(15) = 53, a(15) = -3 + (15-1)c = 53.  Therefore, -3 + 14c = 53, or 14c = 56; c = 4.  


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Read 2 more answers
One-third of a number added to itself equals 3 times the difference of the number and seven.
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

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So the equation is

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4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6

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