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ICSE Class 10 Answered

The 5th and 9th terms of an arithmetic progression are 4 and -12 respectively. Find (a) the first term (b) common difference (c) sum of 16 terms of the AP
Asked by varma.renu9481 | 13 Mar, 2023, 11:46: AM
answered-by-expert Expert Answer
Given: 5th term a5 = 4 and 9th term a9 = -12
straight a plus 4 straight d equals 4 space space space space space space space space... space left parenthesis straight i right parenthesis straight a plus 8 straight d equals negative 12 space space... space left parenthesis ii right parenthesis Subtracting space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis comma space we space get 4 straight d space equals space minus 16 straight i. straight e. space straight d space equals space minus 4 Therefore comma space straight a equals 20 First space term space equals space 20 space and space common space difference equals negative 4 Sum space of space 16 space terms equals 16 over 2 open square brackets 2 straight a plus open parentheses 16 minus 1 close parentheses straight d close square brackets equals 8 open square brackets 40 minus 60 close square brackets equals 8 left parenthesis negative 20 right parenthesis equals negative 160
Answered by Renu Varma | 13 Mar, 2023, 12:05: PM

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