For an arithmetic sequence that sums to 1485 it is known that the first term equals 6 and the last term equals 93 algebraically determine the number of terms summed in this series

Question

Mathematics

Bentley

31 January, 01:27

For an arithmetic sequence that sums to 1485 it is known that the first term equals 6 and the last term equals 93 algebraically determine the number of terms summed in this series

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Answers (1)

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Audrina Perkins · Answer 1

30

Step-by-step explanation:

s_{n}=/frac{a+l}{2}=n

first term=a

last term=l

number of terms=n

1485=/frac{6+93}{2}n

99 n=1485*2=2970

n=2970/99=270/9=30

number of terms=30