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klasskru [66]
3 years ago
15

Find the thirtieth term of the following sequence.

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0
The answer to the question is 52
NeTakaya3 years ago
3 0

Answer:

The thirtieth term of sequence is 52

Step-by-step explanation:

Given the A.P series

-6, -4, -2, 0, ...

we have to find the thirtieth term of the following sequence.

The A.P is -6, -4, -2, 0, ...

which implies

Common difference, d=-4-(-6)=-4+6=2

First term=a=-6

n=30

a_n=a+(n-1)d

a_{30}=a+29d

a_{30}=-6+29(2)=-6+58=52

hence, the thirtieth term of sequence is 52

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Sloan [31]

Answer:

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b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

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c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

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3 years ago
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3 years ago
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