Given that, for an arithmetic sequence, the first term is 3 and the difference is 5. Find the sum of the first 50 terms
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The two series are in A.P. Therefore, the common series will also be in an A.P
Common difference of 1st series =4 and the common difference of 2nd series =5.
Common difference of the sequence whose terms are common to the two series is given by L.C.M of 4 and 5 =20
Here the first term of the identical (common terms) sequence is 19.
We know the sum of first n terms is given by =
2
n
[2a+(n+1)d]
Hence, the sum of first 50 terms of this sequence =
2
50
[2×19+(50+1)20]=25450.
Step-by-step explanation:
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