5.Does the sequence -1,-1,-1,-1.... form an AP? Justify your answe
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Answer:
- Yes the sequence forms an A.P.
- AP or arithmetic progression is a sequence in which difference between each term remains same.
- In this sequence, difference between each term is 0. So, the sequence forms an A.P.
- An AP can have common difference 0.
Learn More:
1.
Nth term of an A.P = a + (n - 1)d
Where,
- a = First term.
- d = Common difference.
2.
Difference between any two terms = a + (n - m)d
Where,
- n = nth term.
- m = mth term.
3.
If an A.P. has odd number of terms (n), then -
→ Middle term = (n + 1)/2th term.
If it has even number of terms (n), then it has two middle terms – nth term and (n/2 + 1)th term.
4.
If a, b and c are three consecutive terms in an A.P., then,
→ 2b = a + c
5.
Sum of first n terms = n/2[2a + (n - 1)d]
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