Verified answer

Arithmetic sequences are different from geometric sequences (ones additive, ones multiplicative)

difference between two terms in an arithmetic sequence is: a{n}-a{n-1}, in the above example a{2}-a{1} = 4-2= 2

the formula for any n is

a{n} = d x n + c

Where d is the difference above and c is some constant that is found by solving the equation for a{1}

a{1} = d x 1 + c

2 = 2 x 1 +c

0=c

summation formula

S{n} = ½n(a{1} + a{n})

for example if n=7, a{n}=2 x 7 +0 = 14

S{7} = ½ x 7 (2+14)

= ½ x 7 x 16 = 56

enable n be the numbers place interior the sequence, so the 1st quantity (n=a million) is two; the 2nd quantity (n=2) is 4; and so on. The numbers interior the sequence are got here across with the aid of x=2*n. the version between any 2 words is two*(n2 - n1) the place n2 (n sub 2 - i will not be able to do subscript right here) is the location of the better quantity and n1 (n sub a million) is the smaller. d = 2*(n2 - n1)

12 is the next number I think

2, 4, 6, 8, 10, then 12

if it ain't 12 then i don't know but i do know that I'm 2 points closer to level 5