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Find the middle term of sequence 7,13,19,......,241

Posted by Kavya Chanana 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Aachal Satwan 4 years, 5 months ago

Given A.P :- 7,13,19,........241 ∴a=7 tn=241 d=13−7=6 ∴tn=a+(n−1)d ∴241=7+(n−1)6 ∴6241−7=n−1 ∴6234=n−1 ∴39+1=n;n=40 ∴2n=240=20......(middle term) ∴2n+1=21 .....(middle term) ∴t20=7+(20−1)6 ∴t20=7+19×6 ∴t20=7+114=121 ∴t21=121+6=127 ∴ Middle terms are 121 and 127.

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