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Prove that no matter what the real numbers and b are the sequence with nth term a+nbis always an A.P. What is the common difference

Posted by Chaitanya Lad?????? 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 3 months ago

nth term, a_n=a+nb

n-1 th term, a_n-1=a+(n-1)b

Differenece of two consecutive terms

= a_n-a_n-1= a+nb-a-nb+b = b

which is constant

Hence the sequence is an AP and the common difference is b

1Thank You

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CBSE > Class 10 > Mathematics