Question

Write the next three terms in each sequence​

Answer 1

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`\sf \: 1). \: 2, \: 4, \: 6, \: 8, \: \boxed{ 10}, \: \boxed{12}, \: \boxed{14}`

`\sf \: 2.) \: 3, \: 6, \: 9, \: 12, \boxed{15}, \boxed{18}, \boxed{21}`

`\sf \: 3.) \: 3, \: 5, \: 7, \: 9, \boxed{11}, \boxed{13}, \boxed{15}`

`\sf \: 4.) \displaystyle (2)/(3) , \: \displaystyle (3)/(4) , \: \displaystyle (4)/(5) , \: \boxed{\displaystyle (5)/(6) }, \: \boxed{ \displaystyle (6)/(7) }, \: \boxed{\displaystyle (7)/(8) }`

Step-by-step explanation

• On number 1, notice that the first 4 portions of the sequence added +2 per term. This concludes that item no.1 counts +2 per term in the sequence.

• On number 2, notice that the first 4 portions of the sequence added +3 per term. This concludes that item no.2 counts +3 per term in the sequence.

• On number 3, notice that the first 4 portions of the sequence added +2 per term. This concludes that item no.3 counts +2 per term in the sequence starts with 3.

• On number 4, notice that the numerator and denominator increase +1 per term alternately both. This concludes that item no.4 counts +1 on both numerator and denominator of the fraction.

Goodluck! :D