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CBSE Class 10 Answered

find the 31th term of an AP whose 11th term is 38 and 16th term is 73
Asked by jaiprakashprasadr | 19 Jul, 2022, 09:22: PM
Expert Answer
Given colon space straight a subscript 11 equals 38 space space and space straight a subscript 16 equals 73
straight a plus 10 straight d equals 38 space space space... space left parenthesis straight i right parenthesis
straight a plus 15 straight d equals 73 space space space... space left parenthesis ii right parenthesis
Solving space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get
straight d equals 7 space and space straight a equals negative 32

31 th space term space equals space straight a subscript 31 equals straight a plus 30 straight d equals negative 32 plus 30 left parenthesis 7 right parenthesis equals 178
Answered by Renu Varma | 20 Jul, 2022, 11:27: AM
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