The question is attached above

Asked by sudhanshubhushanroy | 8th Nov, 2017, 10:13: AM

Expert Answer:

straight T subscript straight r plus 1 end subscript equals to the power of straight n straight C subscript r open parentheses 2 to the power of straight x close parentheses to the power of straight n minus straight r end exponent open parentheses 1 over 4 to the power of straight x close parentheses to the power of straight r
straight T subscript 3 equals to the power of straight n straight C subscript 2 open parentheses 2 to the power of straight x close parentheses to the power of straight n minus 2 end exponent open parentheses 1 over 4 to the power of straight x close parentheses squared
straight T subscript 2 equals to the power of straight n straight C subscript 1 open parentheses 2 to the power of straight x close parentheses to the power of straight n minus 1 end exponent open parentheses 1 over 4 to the power of straight x close parentheses
straight T subscript 3 over straight T subscript 2 equals 7
fraction numerator blank to the power of straight n straight C subscript 2 open parentheses 2 to the power of straight x close parentheses to the power of straight n minus 2 end exponent open parentheses 1 over 4 to the power of straight x close parentheses squared over denominator blank to the power of straight n straight C subscript 1 open parentheses 2 to the power of straight x close parentheses to the power of straight n minus 1 end exponent open parentheses 1 over 4 to the power of straight x close parentheses end fraction equals 7
fraction numerator left parenthesis straight n minus 1 right parenthesis over denominator 2 cross times 8 to the power of straight x end fraction equals 7........... left parenthesis 1 right parenthesis
sum space of space coff space of space straight T subscript 3 space & space straight T subscript 2 space is space 36
to the power of straight n straight C subscript 2 space plus space to the power of straight n straight C subscript 1 space end subscript equals space 36
fraction numerator straight n left parenthesis straight n minus 1 right parenthesis over denominator 2 end fraction plus straight n space equals 36
straight n squared minus straight n minus 72 equals 0
straight n equals 9 space or space straight n equals negative 8
straight n not equal to negative 8 space can apostrophe straight t space be space negative.
put space straight n equals 9 space in space left parenthesis 1 right parenthesis space and space use space log.

Answered by Arun | 7th Dec, 2017, 05:28: PM