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natima [27]
3 years ago
14

What is the 30th term of the arithmetic sequence?

Mathematics
2 answers:
ELEN [110]3 years ago
8 0

Answer:

C. a_3_0=-101

Step-by-step explanation:

We have the arithmetic sequence 15,11,7,3,-1,...

Where,

a_1=15,\\a_2=11,\\a_3=7,\\a_4=3,\\a_5=-1,...

You can see that the common difference d=(-4), or if you couldn't see the common difference you can calculate it with the <em>formula:</em>

d=a_n_+_1-a_n

Then,

d=a_2-a_1\\d=11-15\\d=(-4)

Now to find the 30th term of the arithmetic sequence we can use the following <em>formula:</em>

a_n=a_1+(n-1).d

Replacing n=30, a_1=15 and d=(-4):

a_n=a_1+(n-1).d\\a_3_0=15+(30-1)(-4)\\a_3_0=15-29.4\\a_3_0=15-116\\a_3_0=-101

Then the correct option is C. a_3_0=-101

anyanavicka [17]3 years ago
7 0
The correct answer is:

C.) -101 
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Find x when y=5 if y varies inversely as x and x=6 when y =-18
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It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
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7 0
3 years ago
stephen and bridget win some money and share it in the ratio 5:2. stephen gets £65. how much does bridget get
katen-ka-za [31]

Answer:

Bridget will get the amount as £26.

Step-by-step explanation:

Given:

Amount Stephen gets = £65

Amount shared in ratio = 5:2

We need to find the amount Bridget gets.

Solution:

Let the common factor in the ratio be 'x'.

Amount Stephen gets = 5x

Amount Bridget gets = 2x

But we know that;

Amount Stephen gets = £65

so we can say that;

5x=65

Now dividing both side by 5 we get;

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So now we get;

Amount Bridget gets = 2x=2\times 13 = \£26

Hence Bridget will get the amount as £26.

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Step-by-step explanation:

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