Question

in the arithmetic sequence 6,10,14 how much more is the 15th term than the 10th term

Answer 1

Answer:

a) 5 x 4 = 20

b) 28th term.

Step-by-step explanation:

hope you

Answer 2

Given,

The AP: 6,10,14,---

To find,

The difference between the 15th and 10th terms of the AP.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

The AP: 6,10,14,---

The first term (a) = 6

Common difference(d) = second term - first term

d = 10-6

d = 4

We know that the following formula is used to find the nth term of the AP:

an = a+(n-1)d where n is the number of the term

a15 = a+(15-1)d

a15 = a+14d

Putting the values of a and d,

a15 = 6+14(4)

a15 = 6+56

a15 = 62

a10 = a+(10-1)d

a10 = a+9d

a10 = 6+9(4)

a10 = 6+36

a10 = 42

Now, the difference between the 15th and 10th term of the AP:

a15-a10

62-42

20

Hence, the 15th term is 20 more than the 10th term of the AP.