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MATHS Xth Formulas

 THE SIDDIQUI ACADEMY (POWERED BY EXTRAMARKS) Class 10 Maths Formulas for Arithmetic Progression (AP) If a1, a2, a3, a4….. be the terms of an AP and d be the common difference between each term, then the sequence can be written as: a, a + d, a + 2d, a + 3d, a + 4d…… a + nd. where a is the first term and (a + nd) is the (n – 1) th term. So, the formula to calculate the nth term of AP is given as: n th  term = a + (n-1) d The sum for the nth term of AP where  a  is the 1st term,  d  is a common difference, and  l  is the last term, is given as: S n  = n/2 [2a + (n-1) d]  or  S n  = n/2 [a + l]   Class 10 Maths Formulas for Linear Equations Linear equations in one, two, and three variables have the following forms: Linear Equation in one Variable ax + b=0 Where a ≠ 0 and a & b are real numbers Linear Equation in Two Variables ax + by + c = 0 Where a ≠ 0 & b ≠ 0 and a, b & c are real numbers Linear Equation in Thre...