Question

Write down the next term in the sequence.
2a + b 3a + 5b 4a + 9b

Answer 1

the next term in the sequence is 5a+13b

Answer 2

Answer:

This sequence is 2a + b, 3a + 5b, 4a + 9b.

The first term is derived by combining a with the constant term b. Adding 2a to the first term (3a + 5b) yields the second term, and the coefficient of b rises by 4 for each succeeding term.

Step-by-step explanation:

Taking this into account, it seems that the progression is linear.

The same method may be used to determine the following sequence term. To get the following term, multiply the current term by 4 (4a + 9b) plus 3a, then multiply the coefficient of b by 4. Thus, the following sequence term follows:

5a + 13b

The coefficient of a should increase by 1 with each term, whereas the coefficient of b should increase by 4 with each phrase. Thus we can confirm that these assumptions hold:

The progression from 2a+b to 3a+5b to 4a+9b to 5a+b is as follows. 5a + 13b

Hence, 5a + 13b is the following word in the series.

To learn more about sequence, click on the link below.

https://brainly.in/question/3296986

To learn more about coefficient, click on the link below.

https://brainly.in/question/54991892

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