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love history [14]
3 years ago
5

Plz do both of them for me and even show the work plzzzzzz

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function  a_{1}=1 and a_{n}=a_{n-1}+n

Now, substituting the value of n=2 in above equation,

a_{2}=a_{1}+2

a_{2}=1+2

a_{2}=3

Again putting n=3,

a_{3}=a_{2}+3

a_{3}=3+3

a_{2}=6

Putting n=4,

a_{4}=a_{3}+4

a_{4}=6+4

a_{4}=10

Putting n=5,

a_{5}=a_{4}+5

a_{5}=10+5

a_{5}=15

Putting n=6,

a_{6}=a_{5}+6

a_{6}=15+6

a_{6}=21

Putting n=7,

a_{7}=a_{6}+7

a_{7}=21+7

a_{7}=28

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

a_{1}=5 and r=-2

The nth term is given by:

a_{n}=a_{1}r^{n-1}

For fifteenth term, put n=15 in above equation, we get

a_{15}=5(-2)^{14}

=5{\times}16384

=81920

Hence, the fifteenth term is 81920.

Option 3 is correct.

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Answer:

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2 years ago
What is the solution for the equation 14.8 equals n -0.3
vodomira [7]

Hello there!

14.8=n-0.3

Answer:

\boxed{n=15.1=15.0}

You can also round up to the nearest tenths is 15.1 to 15.0 and its going to be stay.

Step-by-step explanation:

First you had to switch sides of equation form.

n-0.3=14.8

Then you add by 0.3 from both sides of equation form.

n-0.3+0.3=14.8+0.3

And finally, simplify by equation. You can also cross out by -0.3+0.3 and it gave us equal to zero. Then you add 14.8+0.3 and it equal to 15.1. You had to used their variable and its should be the right answer.

n=15.1

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

6 0
3 years ago
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The answer is 88.

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