Question

find the general term of AP 4 3 7 10​

Answer 1

Answer:

The general term for an arithmetic sequence is

an=a1+(n−1)d,

where a1 is the first term , n is the term number or “index”, and d is the common difference.

In this case, a1=4 and d=3 , so the general term would be

an=4+3(n−1).

Test: a4=4+3(4−1)=4+3⋅3=4+9=13✓

Step-by-step explanation:

follow

Answer 2

SOLUTION

TO DETERMINE

The general term of AP 4 , 7 , 10

EVALUATION

Here the given terms are 4 , 7 , 10

First term = a = 4

Second Term = 7

Third term = 10

So

Second Term - First term = Third term - Second term

So the given terms are in AP

Common Difference = d = 7 - 4 = 3

So the required general term

= n th term

$\sf{ = t_n }$

$\sf{ = a + (n - 1)d}$

$\sf{ = 4+ 3(n - 1)}$

$\sf{ = 4+ 3n - 3}$

$\sf{ =3n + 1}$

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