The formulas for the sum of the first $n$ terms of an AP are: 1. Find the Sum of the following APs (i) $2, 7, 12, \dots$, to 10 terms. $a=2, d=5, n=10$. $$S_{10} = \frac{10}{2}[2(2) + (10-1)5]$$ $$S_{10} = 5[4 + 9(5)] = 5[4 + 45] = 5(49) = \mathbf{245}$$ (ii) $-37, -33, -29, … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 5 Exercise 5.1 on Arithmetic Progressions (AP).Class 10 Maths Exercise 5.1, Arithmetic Progression Solutions, AP Common Difference, First Four Terms AP, Identifying AP, Quadratic Equations, Compound Interest AP, Sequence and Series Learn to identify which situations form an AP (constant common difference, $d$) for scenarios … Read more
Get complete, step-by-step solutions for NCERT Class 10 Maths Chapter 5 Exercise 5.2.Class 10 Maths Exercise 5.2, $n$-th Term AP Formula, Arithmetic Progression Solutions, Missing Terms AP, Multiples of a Number AP, Salary Increment Problem, Equal $n$-th Terms AP Master the use of the $n$-th term formula, $a_n = a + (n-1)d$, to find missing … Read more