5. The sum of the first 6 terms of an arithmetic progression is 57 and the sum of the next 7 terms is 203. find the first term and the common difference.
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Answer:
The first term(a) is = -673. and the common difference (d) is = 146.
Step-by-step explanation:
A/q, t6=57 and t7=203. so, a+5d=57 eq.-(i) and a+6d=203 eq.-(ii) Now, eq.- (i)-(ii) (a+5d)-(a+6d)=57-203. a+5d-a-6d=-146. -d=-146. d=146. now, put the value of 'd' in eq.(i). a+5d=57. a+5*146=57. a=57-730. a= -673. Hence, first term is= -673 and common difference is= 146.
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