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mixas84 [53]
3 years ago
14

The product of two consecutive terms of the Arithmetic sequence 5,8,11.....is 598.find the position of the term?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Common difference is 3.

Let x be a term in the sequence. The next term in the sequence is x+3.

x(x+3) = 598

x² + 3x - 598 = 0

x = [-3 ± √(3²-4⋅1(-598))]/[2⋅1] = [-3 ± 49]/2 = 23, -26

-26 is an extraneous solution, so x = 23.

The two terms are 23 and 26.

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4. Is the point (3,-4) a solution to the given system? Justify your answer.
Zigmanuir [339]

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==========================================================

Explanation:

The point (3,-4) means that x = 3 and y = -4 pair up together

Let's plug these x,y values into each equation

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y = 4x-16

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Repeat for the second equation

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