in an AP the sum of first 10 terms is -150 and the sum of it's next 10 terms is -550. find the AP.
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Here, given that...
The sum of first 10 terms of an A.P is 100...
i.e S10=100 and S10-- S20=300. We know that,
S =n/2[2a+(n–1)d]
i.e,, S20=20/2[2a+(20–1)d]
S20=10[2a+(19d)]=400 -------------{1}
Similarly.,
S10=10/2[2a+(10–1)d]
i.e,, S10=5[2a+(9d)]=100 ------------------{2}
By solving {1} and {2}, we have
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