Determine the coordinates of Q(6, −4) after a reflection in the line x=2


a_1 = 1, and

a_{n+1} = a_n + (n + 1) for n \ge 1

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote a_1 = 1, a_2 = 3, a_3 = 6, so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from a_1 = 1, to get to a_2 = 3, we add 2(=1+1)

from a_2 = 3, to get to a_3 = 6, we add 3 (=2+1)


we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

a_1 = 1, and a_{n+1} = a_n +(n + 1) for n \ge 1

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

answer: i believe c. is the answer sorry if i am wrong

step-by-step explanation:

Ineed on this ! and you . i set this for 45 points!

45 degres

step-by-step explanation:

sorey if i hav bad engelish im bad engelish

Do you know the answer?

Other questions on the subject: Mathematics

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance t...Read More
2 more answers
the amount you'd have after the work is $1.55 step-by-step explanation: you subtract 95% from $31....Read More
2 more answers