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Dominik [7]
2 years ago
6

10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term? ​

Mathematics
2 answers:
Tanya [424]2 years ago
5 0

Answer:

-13

Step-by-step explanation:

"Arithmetic sequence" is a big clue, because it means you add on the same amount every time the term number goes up by 1, then add on the same amount to the numbers in the sequence (the list of numbers) see image There are of course formulas to find these missing numbers, but also, crunch it out sometimes so that it makes sense. And when the numbers in the question get crazy you can fall back on the formulas.

9966 [12]2 years ago
4 0

a_{5}=a+4d=11\\a_{10}=a+9d=41

Solve the above equations,

a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13

First term is -13.

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Answer:

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Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

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Pull out like factors :

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Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

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Solve  :    x-4 = 0

Add  4  to both sides of the equation :

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