Question

Write the rule used for each sequence,then write the missing number 1. 3,7,11,15,_______ 2. 5,9,17,33, ______ 3. 20,12,8,6, _______ 4. 2,8,26,80,_______ 5. 36,69,135,267,________ thankyou for answer this my assignment!!!!

Answer 1

Answer:

1. 19 , 2. 65 ,3. 5 ,4. 242 ,5. 430

Step-by-step explanation:

Answer 2

Sequence

• $3,7,11,15,\_\_$
• As it can be seen as, every term in this series is incremented by 4.
• $3+4=7\\7+4=11\\11+4=15\\15+4=19$
• Hence, 19 will continue the series.

• $5,9,17,33,\_\_$
• As it can be seen as, every term in this series is multiplied by 2 and then subtracted by 1.
• $5\times2-1=9\\9\times2-1=17\\17\times2-1=33\\33\times2-1=65$
• Hence, 65 will continue the series.

• $20,12,8,6,\_\_$
• As it can be seen as, every term in this series subtracts the power of 2.
• $20-2^3=12\\12-2^2=8\\8-2^1=6\\6-2^0=5$
• Hence, 5 will continue the series.

• $2,8,26,80,\_\_$
• As it can be seen as, every term in this series is multiplied by 3 and then added by 2.
• $3\times3+2=8\\8\times3+2=26\\26\times3+2=80\\80\times3+2=242$
• Hence, 242 will continue the series.

• $36,69,135,267,\_\_$
• As it can be seen as, every term in this series is multiplied by 2 and then subtracted by 3.
• $36\times2-3=69\\69\times2-3=135\\135\times2-3=267\\267\times2-3=531$
• Hence, 531 will continue the series.