Question:

Find the sum of all even numbers from 1 to 350.

Answer:

The even natural number between 1 to 350 is
2,4, 6, …….348
Where first term a = 2
Second term t1 = 4
Third term t2 = 6
Thus, common difference d = t2 – t1 = 6 – 4 = 2
tn = 348 (As we have to find the sum of even numbers between 1 and 350 therefore excluding 350)
Now, by using nth term of an A.P. formula tn = a + (n – 1) d
where n = number of terms
a = first term
d = common difference
tn = nth terms
we can find value of “n” by substituting all the value in formula we get,
⇒ 348 = 2 + (n – 1) × 2
⇒ 348 – 2 = 2(n – 1)
⇒ 346 = 2(n – 1)

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 14

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