Ysabelle66idn
Answered

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1. the first term is the cube of
2. the second term is 3 times the
of (4a)2 and 3b.
3. the third term is
the product of 4a and
4. The fourth term is the
of 3b.​

Sagot :

Winniekealidn

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?

Lean Six Sigma Green Belt Certification by VarSigma.

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

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