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2 years ago

In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.

1 answer:

4 0

Four Consecutive terms are written as a-3, a-1, a+1,a+3. So

Sum of Terms : 4a=28
a=7

So the terms are 4,6,8,10

Verification : 4^2+6^2+8^2+10^2
= 216

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This problem is providing the ratio of nitrogen to oxygen by mass in nitrogen monoxide, NO, as 7.0:8.0 and asks for the same ratio but in NO₂ and N₂O₇. After doing the calculations, the results are 7.0:16.0 and 1.0:4.0 respectively.

<h3>Mass ratios:</h3>

In chemistry, one can calculate the mass ratios in chemical formulas according to the atomic mass of each atom. In such a way, one knows the mass ratio of nitrogen to oxygen in NO is 7.0:8.0 because we divide the atomic mass of nitrogen by oxygens:

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\\
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In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.​

In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.