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Questions and Answers
What is the formula to find the 'n'th term of an arithmetic progression (A.P.)?
What is the formula to find the 'n'th term of an arithmetic progression (A.P.)?
- n = a + (n+1)d
- n = a - nd
- n = a + nd
- n = a + (n-1)d (correct)
In an A.P., if the common difference (d) is negative, what can be said about the sequence?
In an A.P., if the common difference (d) is negative, what can be said about the sequence?
- The common difference cannot be negative in an A.P.
- The terms will alternate between increasing and decreasing
- The terms will increase by a constant amount
- The terms will decrease by a constant amount (correct)
What is the sum of the first 'n' terms of an A.P. given the first term 'a' and the common difference 'd'?
What is the sum of the first 'n' terms of an A.P. given the first term 'a' and the common difference 'd'?
- $rac{n}{2}(a + (n-1)d)$ (correct)
- $n(a + (n-1)d)$
- $rac{n}{2}(2a + (n-1)d)$
- $n(2a + (n-1)d)$
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