in an AP the first term is -5 the last term is 45 if sum of all number in the ap is 120 then how many terms are there ??what is the common difference??
prabhat00127:
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Here is your answer ⤵⤵⤵⤵
Let a be the first term of this AP
and d be the common difference
a = -5
l = 45
Sn = 120
Sn = n/2(a+l)
=> n/2(-5+45) = 120
=> 40n = 240
=> n = 240/40
=> n = 6
an = 45
=> a+(n-1)d = 45
=> -5+(6-1)d = 45
=> 5d = 45+5
=> d = 50/5
=> d = 10
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