1.Is 7,10,13,16,19……..
an AP?
2. What is its first term ‘a’?
3. What is the common
difference ‘d' ?
Answers
Answered by
9
Answer:
yes it is an AP as common difference is same.
a= 7
common difference= 3
hope it will help you
Answered by
1
Yes, 7,10,13,16,19… is an AP . 7 is the first term and 3 is the common difference
Given:
- 7,10,13,16,19 , ...
To Find:
- Is this an AP?
- First term
- Common difference
Arithmetic sequence
- Sequence of terms in which difference between one term and the next is a constant.
- This is also called Arithmetic Progression AP
- Arithmetic sequence can be represented in the form :
- a, a + d , a + 2d , …………………………, a + (n-1)d
- a = First term
- d = common difference = aₙ-aₙ₋₁
- nth term = aₙ = a + (n-1)d
- Sₙ = (n/2)(2a + (n - 1)d)
Step 1:
Check the difference between consecutive terms
10 - 7 = 3
13 - 10 = 3
16 - 13 = 3
19 - 16 = 3
As difference is same hence this is an AP
Common Difference is 3
Step 2:
Note that first term in 7,10,13,16,19, ... is 7
Step 3:
Note that common difference is 3
Yes, 7,10,13,16,19… is an AP . 7 is the first term and 3 is the common difference
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