Write an explicit formula for the following sequence. 2, 4, 8, 16
do you know the formula in general
is that a geometric sequence or arithmetic ??
I do not know the formula, but I do know it is arithmetic
okay arithmetic seq= when you have to add or subtract to get the next term geometric seq= when you have to multiply or divide first term to get 2nd one
2 +2 =4 4 + 2 is not equal to 8
Is it An = 2n+1
a\[\huge\rm a_n = a_1 + (n-1)d\] formula for arithmetic sequence for geometric sequence a \[\huge\rm a_n = a_1 \times r^{n-1}\]
2, 4, 8, 16 is it geometric or arithmetic ?
Arithmetic
nope i just gave you the definition of arithmetic
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha okay arithmetic seq= when you have to add or subtract to get the next term geometric seq= when you have to multiply or divide first term to get 2nd one \(\color{blue}{\text{End of Quote}}\) read this
4 do you have to add something or multiply by 4 to get 8 ?
Multiply
so that's why its geometric sequence :-)
so what is common ratio ??
1/2
geometric sequence when you multiply or divide to get next term 2 times 1/2 = ?? 4 times /2 = ??
1, 2
Or is the ratio 2/1
yes 2 2 times 2 =4 4 times 2 = 8 |dw:1425789158446:dw| when you multiply previous term by 2 you should get next term
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