NCERT Solutions Class 10 Mathematics Solutions for Arithmetic Progressions - Exercise 5.2 in Chapter 5 - Arithmetic Progressions

Question 23 Arithmetic Progressions - Exercise 5.2

11^thterm of the A.P. -3, -1/2, ,2 …. is

Answer:

Given here,

A.P. = -3, -1/2, ,2 …

Therefore, we can find,

First term a = – 3

Common difference, d = a₂ − a₁ = (-1/2) -(-3)

⇒(-1/2) + 3 = 5/2

As we know, for an A.P.,

a_n = a+(n−1)d

Putting the values;

a₁₁ = 3+(11-1)(5/2)

a₁₁ = 3+(10)(5/2)

a₁₁ = -3+25

a₁₁ = 22

Hence, the answer is option B.

Related Questions

Exercises

Arithmetic Progressions - Exercise 5.1

Arithmetic Progressions - Exercise 5.2

Arithmetic Progressions - Exercise 5.3

Arithmetic Progressions - Exercise 5.4

Chapters

Real Numbers

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

Triangles

Coordinate Geometry

Introduction to Trigonometry

Some Applications of Trigonometry

Circles

Areas Related to Circles

Surface Areas and Volumes

Statistics

Probability