If the sum of first 10 natural numbers is S-1 nbsp- and that of first 10 whole numbers is S-2- Then nbsp-S-1 nbsp- S-2 is20104030

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Comparing Sn of Two Arithmetic Sequences

If the sum of...

Question

If the sum of first 10 natural numbers is $S_{1}$ and that of first 10 whole numbers is $S_{2} .$ Then $S_{1} - S_{2}$ is

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Solution

The correct option is B 10
The sets of natural and whole numbers are (1,2,3,4,5...) and (0,1,2,3...)

$S_{1} = \frac{n}{2} (2 a + (n - 1) d) = 5 (2 + 9) = 55$ and
$S_{2} = 5 ((2 \times 0) + 9) = 45$
$S_{1} - S_{2} = 55 - 45 = 10$

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If the sum of first 10 natural numbers is S1 and that of first 10 whole numbers is S2. Then S1−S2 is

The correct option is B 10The sets of natural and whole numbers are (1,2,3,4,5...) and (0,1,2,3...) S1=n2(2a+(n−1)d)=5(2+9)=55 and S2=5((2×0)+9)=45 S1−S2=55−45=10

If the sum of first 10 natural numbers is $S_{1}$ and that of first 10 whole numbers is $S_{2} .$ Then $S_{1} - S_{2}$ is

The correct option is B 10
The sets of natural and whole numbers are (1,2,3,4,5...) and (0,1,2,3...)

$S_{1} = \frac{n}{2} (2 a + (n - 1) d) = 5 (2 + 9) = 55$ and
$S_{2} = 5 ((2 \times 0) + 9) = 45$
$S_{1} - S_{2} = 55 - 45 = 10$