Verify that the following is an AP, and then write its next three terms. 0,14,12,34,... - Mathematics

Sum

Verify that the following is an AP, and then write its next three terms.

0, 1/4, 1/2, 3/4, ...

Solution

Here,

a= 0

a2 = 1/4

a3 =1/2

a4 = 3/4

a2 – a1 = 1/4 - 0 = 1/4

a3 – a2 = 1/2 - 1/4 = 1/4

a4 – a3 = 1/4 - 1/2 = 1/4

Since, difference of successive terms are equal,

Hence, 0, 1/4, 1/2, 3/4… is an AP with common difference 1/4.

Therefore, the next three-term will be,

3/4 + 1/4 , 3/4 + 2(1/4), 3/4 + 3(1/4)

1, 5/4, 3/2

Concept: Arithmetic Progression
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.3 | Q 2.(i) | Page 52
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