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Answer:
1.BINOMIAL
2.1
In an arithmetic progression, the 6th term is three times the 2nd term and the sum of the first 15 terms is 360. How can I get the first term and the common difference of it?
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Praveenkumar Kalikeri
Updated September 17, 2017
In Arithmetic Progression, the nth term is given by
Tn=a+(n−1)d
As per given data, we can write as
T6=3T2
⇒a+5d=3(a+d)
⇒a+5d−3a−3d=0
⇒2a−2d=0
⇒a=d
Sum upto nth terms in A.P is given by
Sn=n2[2a+(n−1)d]
S15=152[2a+14d]
S15=152[2(d)+14d]
360=152(16d)=120d
⇒d=360120=3
∴d=3,a=d=3