In the sequence \(a_1, a_2, a_3,\ldots, a_n,\) \(a_n=a_{n-1}+1.\) If \(a_1=b\) then \((a_{10})^2-(a_7)^2\) is equal to

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In the sequence \(a_1, a_2, a_3,\ldots, a_n,\) \(a_n=a_{n-1}+1.\) If \(a_1=b\) then \((a_{10})^2-(a_7)^2\) is equal to which of the following?

A. \(3b\)

B. \(6b+45\)

C. \(6b+51\)

D. \(7b+45\)

E. \(7b+51\)

Answer: B

Source: Veritas Prep
Source: — Problem Solving |