Question

Prove that no matter what the real numbers a and b are, the pattern of numbers with nth term a + nb is always an

AP. What is the common difference ? What is the sum of the first 20 terms ?​

Answer 1

Answer:

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Step-by-step explanation:

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