CBSE Class 10 Mathematics Arithmetic Progression Assignment Set 09

True OR False (T/F)

Question. The General term of an AP is \(a + (n+1)d\)
(a) True
(b) False
Answer: (b) False

Question. If three numbers \(x, y, z\) are in AP then \(x = \frac{y+z}{2}\)
(a) True
(b) False
Answer: (b) False

Question. The \(n^{\text{th}}\) term of \(3, 6, 9, \dots\) is \(6n\)
(a) True
(b) False
Answer: (b) False

Question. The Sum to \(n\) terms of \(1, 2, 3, \dots\) is \(\frac{n(n+1)}{2}\)
(a) True
(b) False
Answer: (a) True

Question. Sum to \(n\) terms of a series (Formula) \(S_n = \frac{n}{2}[2a+(n-1)d]\)
(a) True
(b) False
Answer: (a) True

Question. If \(a_n = (2n+1)\) then \(a_{50}\) is \(101\)
(a) True
(b) False
Answer: (a) True

Question. Is the Sum of \(1^{\text{st}}\) \(5\) terms equal to the Sum of \(1^{\text{st}}\) twenty terms in the following AP \(-6, -\frac{11}{2}, -5, \dots\)
(a) True
(b) False
Answer: (a) True

Question. If \(n^{\text{th}}\) term of an A.P is \((2n+5)\), the series is \(7, 9, 11, \dots\)
(a) True
(b) False
Answer: (a) True

Question. If in an A.P., first term is \(5\) and Common difference is \(-3\) then \(11^{\text{th}}\) term is \(25\).
(a) True
(b) False
Answer: (b) False

Question. The \(n^{\text{th}}\) term of the sequence \(5, 8, 11, \dots\) is \((3n-2)\)
(a) True
(b) False
Answer: (b) False

Question. \(17^{\text{th}}\) term of AP \(1, 6, 11, \dots\) is \(81\)
(a) True
(b) False
Answer: (a) True

Question. The first negative term in the Series \(45, 41, 37, \dots\) is \(13\)
(a) True
(b) False
Answer: (a) True

Question. Can \(2\ t_m\) be written as the Sum of \(t_{m+n}\) and \(t_{m-n}\) where \(t_m\) denotes the \(m^{\text{th}}\) term of an A.P. ? Is it a true statement ?
(a) True
(b) False
Answer: (a) True

Question. If the Sum to \(n\) terms of an A.P. is \(n(2n-1)\), the Series is \(1, 6, \dots\)
(a) True
(b) False
Answer: (b) False

Question. Sum of first 5 terms of AP \(4, 2, \dots\) is \(12\).
(a) True
(b) False
Answer: (b) False