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CBSE Class 10 Answered

If the 5th term of an AP is 0,show that its 33rd term is 4 times its 12th term.
Asked by derrindarren | 30 Dec, 2015, 08:38: PM
answered-by-expert Expert Answer
L e t space apostrophe a apostrophe space b e space t h e space i n i t i a l space t e r m space a n d space apostrophe d apostrophe space b e space t h e space c o m m o n space d i f f e r e n c e space o f space t h e space g i v e n space A P 5 t h space t e r m space o f space t h e space A P space i s space a subscript 5 comma space 33 r d space t e r m space o f space t h e space A P space i s space a subscript 33 space a n d space 12 t h space t e r m space i s space a subscript 12 rightwards double arrow a subscript 5 equals a plus open parentheses 5 minus 1 close parentheses d semicolon space a subscript 33 equals a plus open parentheses 33 minus 1 close parentheses d space a n d space a subscript 12 equals a plus open parentheses 12 minus 1 close parentheses d rightwards double arrow a subscript 5 equals a plus 4 d semicolon space a subscript 33 equals a plus 32 d space a n d space space a subscript 12 equals a plus 11 d G i v e n space t h a t space 5 t h space t e r m space i s space 0 rightwards double arrow a plus 4 d equals 0... left parenthesis 1 right parenthesis rightwards double arrow a equals negative 4 d... left parenthesis 2 right parenthesis M u l t i p l y i n g space e q u a t i o n space left parenthesis 1 right parenthesis space b y space 2 space w e space h a v e comma 2 a plus 8 d equals 0... left parenthesis 3 right parenthesis C o n s i d e r space a subscript 33 colon a subscript 33 equals a plus 32 d space space space space space space equals a plus 36 d minus 4 d space space space open square brackets r e w r i t i n g space 32 d space a s space 36 d minus 4 d close square brackets space space space space space space equals a plus 36 d plus a space space space space space space open square brackets f r o m space e q u a t i o n space left parenthesis 2 right parenthesis close square brackets space space space space space space equals 2 a plus 36 d space space space space space space equals 2 a plus 36 d plus 0 space space space space open square brackets a d d i n g space 0 space w i l l space n o t space c h a n g e space t h e space v a l u e space o f space t h e space e x p r e s s i o n close square brackets space space space space space space equals 2 a plus 36 d plus 2 a plus 8 d space space space space space space equals 4 a plus 44 d space space space space space space equals 4 open parentheses a plus 11 d close parentheses space space space space space space equals 4 open parentheses a plus open parentheses 12 minus 1 close parentheses d close parentheses space space space space space space equals 4 a subscript 12
Answered by Vimala Ramamurthy | 31 Dec, 2015, 10:23: AM

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CBSE 10 - Maths
1.The mean weight of 9 students is 25 Kg. if one more student is joined in the group, the mean is unaltered. Find the weight of 10th student 2.If the nth term of an A.P is pn+q find its common difference.
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