Find (33-23)+(53-43)+(73-63) upto 10 terms - Maths - Sequences and Series

Question

Find
(33-23)+(53-43)+(73-63)
upto 10 terms

Neha Sethi · Accepted Answer

Dear student
Sum =33+53+73+ to 10 terms-23+43+63+
 to 10 terms=23+33+43+53+
 to 20 terms-223+43+63+
 to 10 terms=13+23+33+ to 21 terms-13-2
2313+23+33+ to 10 terms=21×21+122-1-16 10
10+122=2312-2202-1=231+220231-220-1=451×11-1=4961-1=4960

Regards

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