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Ainat [17]
3 years ago
14

Find the sum of the first 30 terms of the sequence. a_(n)=4n+1

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890

the answer is 1890


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