Question

find the commom diference of the AP 4, 9, 14 ... if the first term changes to 6 and the common difference remains the same then write the new AP​

Answer 1

Answer:

6,11,16...

Step-by-step explanation:

here, given AP is :

4,9,14...

here, a = 4 and d = 9-4 = 5

now , we are asked to change a to 6 and d remains the same.

so , now, a = 6 and d = 5

therefore, new AP is :

6,6+5,6+5+5....

6,11,16.... is the new AP

hope it helps

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Answer 2

Given,

A.P. = 4, 9, 14 ...

To find,

The common difference of the AP 4, 9, 14 ... and the new A.P. when the first term is 6 and the common difference is the same.

Solution,

The common difference of the AP 4, 9, 14 ... will be 5 and the new A.P. when the first term is 6 and the common difference is the same will be 6, 11, 16, ---.

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

Now, we know that the difference between the two consecutive terms of an A.P. is common. The common difference (d) can be found by subtracting the first term from the second term.

According to the question,

4, 9, 14 ...

common difference(d) = second term (a2) - first term (a1)

d = 9 - 4

d = 5

Hence, the common difference of the AP 4, 9, 14 ... is 5.

Now, in the new A.P., the first term is 6 and the common difference is 5.

Then, the second term will be:

a2 = a1 + d

a2 = 6 + 5

a2 = 11

The third term will be:

a3 = a2 + d

a3 = 11 + 5

a3 = 16

Hence, the new A.P. is 6, 11, 16, ---.