Math, asked by albinsajan998, 22 days ago

11. The sum of the 5th and 24th terms of an arithmetic sequence is 50. Find the sum of the Ist and 28th terms?​

Answers

Answered by lexi07
0

Answer:

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Answered by xXbrainlykibacchiXx
5

Answer:

Solution :-

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 = 2n[2a+(n+1)d] 

Hence,

the sum of first 50 terms of this sequence = 250[2×19+(50+1)20]=25450

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