Which term of the ap 3,10,17....... Will be 84 more than its 13th term?
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Answer:
25th term. Solution in the pic:)
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Step-by-step explanation:
3 , 10 , 17 ,...........
a = 3 , d = 10-3 = 7
according to question :- इस समांतर श्रेणी का कोई पद X है जो कि इस श्रेणी के 13वें पद से 84 अधिक है ।यानी
X = a(13) + 84 ---(1)
a(13) = a + (n-1)d
= 3 + (13-1)7
= 3 + 12*7
= 3 + 84
= 87
समी.(1) से --
X = 87 + 184
X = 171
अतः उस पद का मान 171 है ।
a(n) = a + (n-1)d
171 = 3 + (n-1)7
168 = 7(n-1)
n - 1 = 24
n = 25
अतः उपरोक्त समांतर श्रेणी का 25वाँ पद 171 , इस श्रेणी के 13वें पद 87 से 84 अधिक है ।
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