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torisob [31]
3 years ago
7

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

rm. a1 = – 25 an = an–1–14 an=
Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Given :

a_1=-25 .

a_n=a_{n-1}-14 .

To Find :

The general equation of a_n .

Solution :

We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .

Now , common difference ,

d=a_n-a_{n-1}\\\\d=-14

Also , first term is -25 .

Now , general term of an A.P is given by :

a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n

Hence , this is the required solution .

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How do I get the answer for 1 1/2 x 3 x 1 1/9
Mekhanik [1.2K]

\boxed{1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}=5}

<h2>Explanation:</h2>

in this problem we have the following expression:

1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}

So here:

1 \frac{1}{2} \ and \ 1 \frac{1}{9} \ are \ written \ as \ mixed \ fractions

Let's convert them as improper fractions:

1 \frac{1}{2}=1+\frac{1}{2}=\frac{1\times 2+1}{2}=\frac{3}{2} \\ \\ 1 \frac{1}{9}=1+\frac{1}{9}=\frac{1\times9 +1}{9}=\frac{10}{9}

Rewriting our expression:

\frac{3}{2}\times 3 \times \frac{10}{9}=\frac{3\times 3 \times 10}{2\times 9}=\frac{90}{18}=5

<h2>Learn more:</h2>

Simplify: brainly.com/question/10644722

#LearnWithBrainly

3 0
3 years ago
eight hundred ninety-one billion, nine hundred sixty-two million, one hundred seventy-two thousand, four hundred nine in standar
ahrayia [7]

Answer:

891,962,172,409

Step-by-step explanation:

4 0
3 years ago
Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb
rjkz [21]

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

8 0
3 years ago
What are three terms in this equation ? 4x-2y+3​
enyata [817]
Answer;

They are 3 terms

The terms are the numbers and the variables separated by the minus sign and the plus sign
8 0
3 years ago
Determine whether the system of equations has no solution, one solution, or infinitely many solutions
Vinil7 [7]

Answer:

one solution

Step-by-step explanation:

y=-3x+5

y=1/2x-2

You can tell straight off the bat, it does have a solution, and it isn't infinite solutions. If it had no solution, it would have the same slope but different y-intercepts. If it had infinite solutions, the 2 equations would have to be the exact same. So there is only one solution.

---

hope it helps

4 0
3 years ago
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