What is the 149th term in the arithmetic sequence below?
3 11 19 27
A) a(149) = 1187
B) a(149) = 1199
C) a) 149) = 1184
D) a(149) = 1189
I got 141 obviously that's completely incorrect plz help, I don't understand how to solve this.
clearly, d=8, so
a_149 = 3+148*8 = ____
how did you get 141?
Wow, I just learnt how to solve this! I'm so dumb I didnt know we're supposed times 148 and add the 3 😩
To find the 149th term in an arithmetic sequence, you need to know the formula for finding any term in the sequence. The formula for the nth term of an arithmetic sequence is:
a(n) = a(1) + (n - 1)d
Where:
a(n) is the nth term in the sequence.
a(1) is the first term in the sequence.
n is the position of the term you want to find.
d is the common difference between consecutive terms.
In this case, we are given the first term (a(1)) as 3 and the common difference (d) as 8, since each term increases by 8.
Now we can substitute these values into the formula to find the 149th term:
a(149) = 3 + (149 - 1) * 8
Simplifying this expression:
a(149) = 3 + 148 * 8
a(149) = 3 + 1184
a(149) = 1187
So the 149th term in the sequence is 1187.
Now we can compare this answer with the given options:
A) a(149) = 1187 (Correct)
B) a(149) = 1199 (Incorrect)
C) a(149) = 1184 (Incorrect)
D) a(149) = 1189 (Incorrect)
The correct answer is option A) a(149) = 1187.