Question

What are the first four terms in the multiplication, or geometric, pattern in which the first term is 2 and then each term is multiplied by 7?
2, 7, 49, 343

2, 14, 98, 686

2, 14, 28, 56

2, 9, 16, 23

Answer 1

Answer:

Option B) is correct

The first four terms in the multiplication or geometric pattern has first term is 2 and then each term is multiplied by 7 is 2,14,98,686

Step-by-step explanation:

Given that the first term is 2 and then each term is multiplied by 7

When each term is multiplied by 7

That is formula used here is $a_{n}=a_{n-1}\times 7$

put n=2 in $a_{n}=a_{n-1}\times 7$

$a_{2}=a_{2-1}\times 7$

$a_{2}=2\times 7$

$a_{2}=14$

put n=3 in $a_{n}=a_{n-1}\times 7$

$a_{3}=a_{3-1}\times 7$

$a_{3}=14\times 7$

$a_{3}=98$

put n=4 in $a_{n}=a_{n-1}\times 7$

$a_{4}=a_{4-1}\times 7$

$a_{4}=a_{3}\times 7$

$a_{4}=98\times 7$

$a_{4}=686$

Therefore the pattern is 2, 14, 98, 686

Option B) is correct

The first four terms in the multiplication or geometric pattern has first term is 2 and then each term is multiplied by 7 is 2,14,98,686