The sequence a 1 , a 2 , a 3 , … , a 98 satisfies the relation a n + 1 = a n + 1 for n = 1 , 2 , 3 , … , 97 and has the sum equal to 4949. Evaluate ∑ k = 1 49 a 2 k .

Start Free Mock LoginAlready registered? Login here

Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesA.P.Medium2 minQB

MathematicsMediuminteger

The sequence $a_{1}, a_{2}, a_{3}, \dots, a_{98}$ satisfies the relation $a_{n + 1} = a_{n} + 1$ for $n = 1, 2, 3, \dots, 97$ and has the sum equal to 4949. Evaluate $\sum_{k = 1}^{49} a_{2 k}$ .

Answer:

2499

Solution:

The terms are in A.P. with common difference $d = 1$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:A.P.

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...