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3 years ago

If the first term in an arithmetic sequence is –3 and the tenth term is 15, what is the common difference?

Mathematics

1 answer:

Triss [41]3 years ago

6 0

Given that the First term of the Arithmetic sequence = -3

⇒ a = -3

We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d

where a is the first term and d is the common difference

Given that 10th term is 15

⇒ T₁₀ = -3 + (10 - 1)d

⇒ -3 + (10 - 1)d = 15

⇒ 9d = 18

⇒ d = 2

⇒ Common difference of given Arithmetic Sequence is 2

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Answer:

5/9 is an example of rational number.

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as the definition of rational number is the number in the form of p/q but the value of denominator q should not be equal to 0. Every integer is a rational number.

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3 years ago

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To solve this we are going to find the least common multiple of 8 and 12.
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3 years ago

What is the percent of 12000 to 150

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4 years ago

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CaHeK987 [17]

The Type B trees produces 120 pears.

<h3>What is meant by percentage?</h3>

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

<h3>How many pears did the Type B trees produce?</h3>

Type A trees produced 20 percent more pears than Type B trees did
Type A trees produced 144 pears.

Let us consider, Type B produced 100% pears.

So, Type A will produce 120%of B, that is 144

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2 years ago

Expression.is of what number? Write a division expression to match this question.

nirvana33 [79]

3/4 is 1/3 of what number?

For this problem we just need to do the following division:

$\frac{x}{3}=\frac{3}{4}$

And we can solve for the value of x desired and we got multiplying both sides by 3:

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Expression:

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1 year ago