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Naily [24]
2 years ago
8

Find the thirty-second term of the following sequence. 9, 15, 21, ... 186 199 195

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
5 0
The question can be answered using the arithmetic sequence formula: an<span> = a</span>1<span> + (n – 1)d.
d = 6
a1 = 9
n = 32
an = ?

an = 9 + (32-1)6
an = 9 + 31x6
an = 195

so, the 35th term is 195</span>
SVETLANKA909090 [29]2 years ago
4 0
<h2>Answer:</h2>

The thirty-second term of the sequence is:

                                 195

<h2>Step-by-step explanation:</h2>

We are given a sequence as:

       9,15, 21, .....

The first term of the sequence is:

a_1=a=9

Also, we could observe that the sequence has a common difference(d) : 6

Since,

15-9=6

21-15=6

This means that the sequence is an arithmetic sequence with:

a=9\ and\ d=6

Also, we know that the nth term of a sequence is given by the formula:

a_n=a+(n-1)d

Hence,

a_{32}=9+(32-1)\times 6\\\\\\a_{32}=9+31\times 6\\\\\\a_{32}=9+186\\\\\\a_{32}=195

      Hence, the answer is:

               195

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Y is inversely proportional to x.<br> Complete the table.<br> х<br> 15<br> 6<br> у<br> 5<br> 10
AlexFokin [52]

Answer:

When x = 15, y= 2

When y= 10, x= 3

Step-by-step explanation:

This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.

We are to complete the table using the relationship between x and y.

Given:

y is inversely proportional to x = y ∝ 1/x

∝ = proportional to

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To understand the relationship between y and x, we need to find the value of k.

y = k × 1/x

From the table,

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The above relationship would enable us find the missing parts.

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2 years ago
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Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

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{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

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