Question

class xth ...: 5,5,5,5,5.............is an AP How?????????​

Answer 1

Answer:

yes the above written series is an ap with common difference 0 and first term 5.

Step-by-step explanation:

for a series to become ap is not necessary that the common difference should be greater than zero it could be positive, negative or 0.

the two thing which is making the above series different is that

1. same number is is being repeated again
2. it is GP HP and AP simultaneously.

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Answer 2

Answer:

A sequence is a sequence of numbers in which the difference between successive terms is constant is called an arithmetic progression or arithmetic sequence (AP),For example, the sequence 8, 10, 12, 14, 15, 17, . . . is an arithmetic progression with a common difference of 2.

Again,we are taking another series 50,55,60,65,....

It is also an arithmetic progression with common difference of 5.

Here given series,

5,5,5,5,5.............

Common difference between each term is 0 .

According to rule of AP series,

Each term has same common difference.

So, given series is a AP series.

Some important formula of AP series,

1.General from of Ap series-

a,a+d,a+2d,a+3d,.........a+nd.

2.Sum of nth term of AP series-$s = \frac{n}{2} [2a + (n - 1)d]$

3.Sum of all terms in a finite AP with the last term as "l"- $\frac{n}{2} (a + l)$

Know more about Arithmetic progression:

1) https://brainly.in/question/4219484

2) https://brainly.in/question/2768711

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