Question

In Arithmatic sequence 7th
number egual to a fourth
times of second
number
find a sequence​

Answer 1

Correct Question

In Arithmatic sequence 7th number equal to a fourth times of second number,where first term is 2

find a sequence

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• in an arithmetic Sequence
• 7th term is equal to the fourth times second no
• if a = 2

${\sf{\green{\underline{\large{To\:find}}}}}$

• The sequence

${\sf{\pink{\underline{\Large{Explanation}}}}}$

Tn = a + (n-1)d

Here

• 7th term is

T7 = a+(n-1)d

=>T7 = a+6d

• 2nd term

=>T2=a+(n-1)d

=>T2=a+(1)d

=>T2=a+d

According to the question

• 7th term is equal to the fourth times second no

=>T7=4(T2)

=>a+6d=4(a+d)

=>a-4a-4d+6d=0

=>-3a+2d=0

=>2d=3a

=>d=3a/2

Putting value of a

=>d=3

Then sequence is

=>2,5,8,11,...

Answer 2

Tn = a + (n-1)d

Here

7th term is

T7 = a+(n-1)d

=>T7 = a+6d

2nd term

=>T2=a+(n-1)d

=>T2=a+(1)d

=>T2=a+d

According to the question

7th term is equal to the fourth times second no

=>T7=4(T2)

=>a+6d=4(a+d)

=>a-4a-4d+6d=0

=>-3a+2d=0

=>2d=3a

=>d=3a/2

Putting value of a

=>d=3

Then sequence is

=>2,5,8,11,..