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Choose the correct alternative answer for the following question. For an given A.P. a = 3.5, d = 0, n = 101, then tn = ______. - Algebra

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प्रश्न

Choose the correct alternative answer for the following question.

For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....

पर्याय

  • 0

  • 3.5 

  • 103.5

  • 104.5

MCQ

उत्तर

3.5

Explanation:

a = 3.5, d = 0, tn = t101

tn = a + (n − 1)d

t101 = 3.5 + (101 − 1)0

= 3.5 + 100 (0)

= 3.5 + 0

= 3.5

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पाठ 3: Arithmetic Progression - Problem Set 3 [पृष्ठ ७८]

संबंधित प्रश्‍न

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Q.15


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Find the sum of natural numbers between 1 to 140, which are divisible by 4.

Activity: Natural numbers between 1 to 140 divisible by 4 are, 4, 8, 12, 16,......, 136

Here d = 4, therefore this sequence is an A.P.

a = 4, d = 4, tn = 136, Sn = ?

tn = a + (n – 1)d

`square` = 4 + (n – 1) × 4

`square` = (n – 1) × 4

n = `square`

Now,

Sn = `"n"/2["a" + "t"_"n"]`

Sn = 17 × `square`

Sn = `square`

Therefore, the sum of natural numbers between 1 to 140, which are divisible by 4 is `square`.


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