which term of AP 3, 7, 11, 15.will be 120 more than its 21st term
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Answer:
51th term
Step-by-step explanation:
First term = 3
Common difference = 7 - 3 = 4
Using, aₙ = a + (n - 1)d
Let nth term be 120 more than its 21st term:
⇒ 3 + (n - 1)4 = 120 + (3 + (21-1)4)
⇒ (n - 1)4 = 120 + 20(4)
⇒ (n - 1)4 = 120 + 80
⇒ n - 1 = 50
⇒ n = 51
required term is 51th term of this AP
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