Question
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Solution
The two-digit numbers, which when divided by 4, yield 1 as remainder, are
13, 17, … 97.
This series forms an A.P. with first term 13 and common difference 4.
Let n be the number of terms of the A.P.
It is known that the nth term of an A.P. is given by, an = a + (n –1) d
∴97 = 13 + (n –1) (4)
⇒ 4 (n –1) = 84
⇒ n – 1 = 21
⇒ n = 22
Sum of n terms of an A.P. is given by,
Is there an error in this question or solution?
Solution for question: Find the Sum of All Two Digit Numbers Which When Divided by 4, Yields 1 as Remainder. concept: Arithmetic Progression (A.P.). For the courses CBSE (Science), CBSE (Commerce), CBSE (Arts)
