Q65.The number of terms in an A. P. is even, the sum of the odd terms in it is 24 and that the even terms is 30. If the last term exceeds the first term by 10 12 , then the number of terms in the A. P. is (1) 4 (2) 8 (3) 16 (4) 12
What This Question Tests
The question involves setting up simultaneous equations using the sum of odd-positioned terms and even-positioned terms in an AP, along with the relation between the first and last terms, to find the number of terms.
Concepts Tested
Formulas Used
Sn = (n/2)(a + l)
Sn = (n/2)(2a + (n-1)d)
an = a + (n-1)d
๐ NCERT Sections This Tests
6.11 โ Dynamics Of Rotational
Physics Class 11 ยท Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
1.3 โ Define The Following Terms:
Chemistry Class 11 ยท Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
๐ Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression properties
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
More from this Chapter
Q86.In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals (1) 1 2 (1 โโ5) (2) 21 โ5 (3) โ5 (4) 12 (โ5 โ1)
Q88.The sum of the series 2! 1 โ13! + 4!1 โโฆ upto infinity is (1) eโ2 (2) eโ1 (3) eโ1/2 (4) e1/2
Q71.Statement - 1: For every natural number n โฅ2, 1 + 1 + โฆ + 1 > โn. Statement โ2 : For every โ1 โ2 โn natural number n โฅ2, โn(n + 1) < n + 1. (1) Statement โ1 is false, Statement โ2 is true (2) Statement โ1 is true, Statement โ2 is true, Statement โ2 is a correct explanation for Statement โ1 (3) Statement โ1 is true, Statement โ2 is true; (4) Statement โ1 is true, Statement โ2 is false. Statement โ2 is not a correct explanation for Statement โ1.
Q76.The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is (1) โ4 (2) โ12 (3) 12 (4) 4