Question

find the general term of each- 1,4,7,10,13.……​

Answer 1

Answer:

3

Step-by-step explanation:

First take 1 and then 4.

Find the difference between 4 and 1 that is 3.

Then, again take 4 and 7 and find difference. Again that is 3.

So by this, you will find general term as 3.

Answer 2

Answer:

We are given the sequence:

1, 4, 7, 10, 13, 16

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 3 to the previous term in the sequence gives the next term.

This is the formula for arithmetic sequence :

a_{n}=a_{1}+d(n-1)a

n

=a

1

+d(n−1)

Now we have our first term a₁ = 1

common difference d=3

So plugging these values in the formula we have,

a_{n}=1+3(n-1)a

n

=1+3(n−1)

a_{n}=1+3n-3a

n

=1+3n−3

The final formula is :

a_{n}=3n-2a

n

=3n−2

Step-by-step explanation:

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