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3 years ago

What is the next two term in the sequence 6, 10, 14, 16

Mathematics

2 answers:

Alla [95]3 years ago

8 0

Step-by-step explanation:

Given Sequence :- 6 , 10 , 14 , 16

To find :- Next 2 terms in the sequence

Solution :- 

D( common difference ) = a2 - a1

D = 10 – 6

D = 4

Next two terms ,

16 + D ; 16 + 4 = 20

20 + D ; 20 + 4 = 24

8090 [49]3 years ago

7 0

Answer:

Next two terms of the sequence is 20 and 24.

Step-by-step explanation:

The arithmetic sequence is 6, 10, 14 , 16

First term (a) = 6

Subtract the first term from the second term:

10 - 6 = 4

Subtract the second term form the third term:

14 - 10 = 4

Subtract the third term from the Fourth term:

16 - 14 = 4

Here, You will notice that each time you move from one number to the next one it increases by four. So, the difference between one and the next term is four.

So,

Next two terms are:

⟶ 16 + 4 = 20

⟶ 20 + 4 = 24

Hence,

Next two terms of the sequence is 20 and 24.

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