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CBSE Class 11-science Answered

Find the number of terms of the AP 98,91,84,.. must be taken to give a sum of zero?
Asked by Topperlearning User | 04 Oct, 2016, 06:55: AM
answered-by-expert Expert Answer

a equals 98
d equals negative 7
l e t space t h e space n u m b e r space o f space t e r m s space b e space n.
s u m space o f space n space t e r m s space w i l l space b e space S subscript n equals n over 2 left parenthesis 2 a plus left parenthesis n minus 1 right parenthesis d right parenthesis
S subscript n equals n over 2 left parenthesis 196 minus 7 n plus 7 right parenthesis
A c c o r d i n g space t o space t h e space q u e s t i o n space S subscript n equals 0
n over 2 left parenthesis 203 minus 7 n right parenthesis equals 0 rightwards double arrow n equals 0 comma 29
w e space c a n space t a k e space e i t h e r space n o space t e r m s space o r space 29 space t e r m s space f o r space t h e space s u m space t o space b e space z e r o

Answered by | 04 Oct, 2016, 08:55: AM
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