Question

Match the sequence (term) with the correct type of sequence (definition). Match Term Definition 2, 4, 6, 8, … A) Geometric, common ratio is 0.5 28, 24, 20, 16, … B) Arithmetic, common difference is 2 2, 4, 8, 16, … C) Geometric, common ratio is 2 48, 24, 12, 6, … D) Arithmetic, common difference is −4

Answer 1

in an arithmetic sequence, u find the next term by adding a common number.
in a geometric sequence, u find the next term by multiplying by a common number

2,4,6,8.....ur adding 2 each time to find the next number...therefore, it is an arithmetic sequence with a common difference of 2

28,24,20,16 ....ur adding -4 each time...so this is an arithmetic sequence with a common difference of -4

2,4,8,16....ur multiplying by 2 each time to find the next term...so this one is geometric with a common ratio of 2

48,24,12,6....ur multiplying by 0.5 each time to find the next number...this one is lso geometric with a common ratio of 0.5

** in an arithmetic sequence, to find the common difference, subtract ur first number from ur second number
in a geometric sequence, to find the common ratio, take ur second number and divide it by ur first number