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3 years ago

The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four

Mathematics

1 answer:

Olegator [25]3 years ago

8 0

Answer:

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

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in your math class there are 2 Boys for every 3 girl.which of the following be the ratio of Boys and girl in the class?

4vir4ik [10]

Answer:

B. 14/21

Step-by-step explanation:

4 0

3 years ago

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When half the positive difference between the 13th and 23rd natural numbers is added to the 34th even natural number, what is th

umka2103 [35]

Natural numbers are 1,2,3 and so on. 13th and 23rd natural numbers are 13 an 23. Half the positive difference between 13th and 23rd natural numbers = (23-13)/2 = 5.
34th even natural number = 68
When half the positive difference between 13th and 23rd natural number added to 34th even natural number, result will be = 5+68 = 73.

6 0

3 years ago

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Can someone answer this question please?

Troyanec [42]

The solution to the inequality $3x-3\leq -15\,\,or\,\,4x-1\geq 11$ is $x\leq -3\,\,or\,\,x\geq 4$

The number line is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: $3x-3\leq -15\,\,or\,\,4x-1\geq 11$

Solving the inequality:

$3x-3\leq -15\,\,or\,\,4x-1\geq 11\\Adding\,\,3\,\,on\,\,both\,\,sides\,\,and\,\,1\,\,on\,\,both\,\,sides\\3x-3+3\leq -15+3\,\,or\,\,4x-1+1\geq 11+1\\3x\leq -12\,\,or\,\,4x\geq 12$

Divide by 3 and divide by 12

$x\leq \frac{-12}{3} \,\,or\,\,x\geq \frac{12}{4} \\x\leq -4\,\,or\,\,x\geq 3$

So, value of x can be less than equal to -4 or value of x is greater than equal to 3.

The number line is shown in figure attached.

The solution to the inequality $3x-3\leq -15\,\,or\,\,4x-1\geq 11$ is $x\leq -3\,\,or\,\,x\geq 4$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

7 0

3 years ago

2x + 6y= 386<br> 4x +4y=292

Vilka [71]

Answer:

x = 13 ,y = 60

Step-by-step explanation:

Solve the following system:

{2 x + 6 y = 386 | (equation 1)

4 x + 4 y = 292 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 4 y = 292 | (equation 1)

2 x + 6 y = 386 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{4 x + 4 y = 292 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 1 by 4:

{x + y = 73 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 2 by 4:

{x + y = 73 | (equation 1)

0 x+y = 60 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 13 | (equation 1)

0 x+y = 60 | (equation 2)

Collect results:

Answer: {x = 13 ,y = 60

3 0

3 years ago

One leg of a right angle has a length of 3m. The other sides have lengths

snow_lady [41]

I don’t understand what the question is

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3 years ago