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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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