Question

Find the
next three term of these sequence 1,3,5

Answer 1

Step-by-step explanation:

1,3,5,7,9,11,13, and so on

Answer 2

Given : The sequence is 1,3,5...

To find : The next three terms of the given sequence.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the next three terms of the given sequence)

Now,

• Second term - First term = 3-1 = 2
• Third term - Second term = 5-3 = 2

So, the difference between two consecutive terms is equal in all cases. That's why, the given sequence can be considered as an AP series.

In the given AP series :

• First term (a) = 1
• Common difference (d) = 2

Now, the data is given upto the 3rd term of the AP series. The next three terms will be 4th,5th and 6th terms of the AP series.

Now, we know that :

nth term of the AP = a + (n-1) × d

So,

The 4th term of the AP = 1 + (4-1) × 2 = 7

(In this case, a = 1 , n = 4 , d = 2)

The 5th term of the AP = 1 + (5-1) × 2 = 9

(In this case, a = 1 , n = 5 , d = 2)

The 6th term of the AP = 1 + (6-1) × 2 = 11

(In this case, a = 1 , n = 6 , d = 2)

So, the next three terms are = 7,9,11

(This will be considered as the final result.)

Hence, the next three terms are 7, 9 and 11