Question

fProve that no matters what the real numbers A and B are the pattern of number but an A+ nb is always an a.p. what is the common difference what's the sum of first 20 terms

please don't send irrelevant answers those who give right answer I will follow them ​​

Answer 1

Answer:

nth term, an=a+nb

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

Differenece of two consecutive terms

= an-an-1= a+nb-a-nb+b = b

which is constant

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

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Answer 2

Answer:

nth term, an = a+nb

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

Different of two consecutive terms

= an - an- 1 = a+nb+b= b

which is consonant

hence the sequence is an AP and the common difference is B.

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