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If the pth term of an arithmetic progression is c and the qth term is d, what is the value of next rth term in terms of c and d?

If the pth term of an arithmetic progression is c and the qth  term is d, what is the value of next rth term in terms of c and d?

 

Solutions

Expert Solution

If the pth term of an arithmetic progression is c and the qth  term is d, what is the value of next rth term in terms of c and d?

Sol. 

 

pth term, Tp = c and qth term, Tq = d

Common difference, c.d = Tq - Tp = d - c

Next term rth, Tr will be higher than Tq by common difference i.e. d - c

So, 

Tr = Tq + (d-c) = d +(d-c) = 2d +c

Thus, next rth term Tr is 2d +c

Thus, next rth term Tr is 2d +c

Shams answered 2 years ago
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