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Asked by Kanwaranita10 | 03 Mar, 2020, 05:23: PM
answered-by-expert Expert Answer
If the 6th term of an AP is equal to four times its first term and the sum of first six terms is 75, find the first term and the common difference.
Solution:-
G i v e n colon space a subscript 6 equals 4 a rightwards double arrow a plus 5 d equals 4 a rightwards double arrow 3 a minus 5 d equals 0 space... space left parenthesis i right parenthesis S u m space o f space s i x space t e r m s space equals space 6 over 2 open parentheses 2 a plus open parentheses 6 minus 1 close parentheses d close parentheses rightwards double arrow 3 open parentheses 2 a plus 5 d close parentheses equals 75 rightwards double arrow 2 a plus 5 d equals 25 space... space left parenthesis i i right parenthesis A d d i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis rightwards double arrow 5 a equals 25 rightwards double arrow a equals 5 S u b s t i t u t i n g space a equals 5 space i n space left parenthesis i right parenthesis comma space w e space h a v e 3 cross times 5 equals 5 d space rightwards double arrow d equals 3
Answered by Renu Varma | 04 Mar, 2020, 10:14: AM

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