Question

find 14th term of 2,4,6,8,10,..​

Answer 1

Answer:

We have the terms : 2, 4, 6, 8, 10 .. and so on

Let, T1=2=aT1=2=a ….. (Where a denotes the first term of the series)

T2=4=2∗2=2∗aT2=4=2∗2=2∗a

T3=6=3∗2=3∗aT3=6=3∗2=3∗a

T4=8=4∗2=4∗aT4=8=4∗2=4∗a

Thus we can generalize it as :

Tn=n∗a=2∗nTn=n∗a=2∗n ……..(where n is the nth term of the series)

nth term of 2 4 6 8 10 = Tn=2nTn=2n

Also we can notice that this is an Arithmetic Progression, whose first term is 2 and common difference is also 2.

Tn=a+(n−1)dTn=a+(n−1)d . ………. (where, a&d = 2)

Answer 2

Answer:

14th term of 2,4,6,8,10,.. is 28.

Step-by-step explanation:

14×2= 28

it is the correct answer

mark it as brilliant answer