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Find the value of 2a + 3b

Find the value of 2a + 3b-example-1
User Klaudo
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1 Answer

5 votes

Answer: 19

Explanation:

Using the sum of an arithmetic series formula,


\sum^(30)_(n=2) (an+b)=2407 \implies 29(16a+b)=2407 \implies 16a+b=83\\\\\sum^(40)_(n=1) (an+b)=4220 \implies 20(41a+2b)=4220 \implies 41a+2b=211

Multiplying the second equation by 2 gives us
32a+2b=166.

Subtracting this from the second equation, we get that
9a=45 \implies a=5.

Substituting this back into the first equation, we get that
b=3.

Therefore,
2a+3b=2(5)+3(3)=19

User Shantanuo
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