Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=7n+8a_n = -7n + 8\newline_____, _____, _____, _____, _____

Full solution

Q. Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=7n+8a_n = -7n + 8\newline_____, _____, _____, _____, _____
  1. Find first term: Find the first term of the sequence, a1a_1. \newlinea1=7n+8a_1 = -7n + 8 when n=1n = 1\newlinea1=7(1)+8a_1 = -7(1) + 8\newlinea1=7+8a_1 = -7 + 8\newlinea1=1a_1 = 1
  2. Find second term: Find the second term of the sequence, a2a_2. \newlinea2=7n+8a_2 = -7n + 8 when n=2n = 2\newlinea2=7(2)+8a_2 = -7(2) + 8\newlinea2=14+8a_2 = -14 + 8\newlinea2=6a_2 = -6
  3. Find third term: Find the third term of the sequence, a3a_3. \newlinea3=7n+8a_3 = -7n + 8 when n=3n = 3\newlinea3=7(3)+8a_3 = -7(3) + 8\newlinea3=21+8a_3 = -21 + 8\newlinea_3 = \(-13\)
  4. Find fourth term: Find the fourth term of the sequence, \(a_4\). \(\newline\)\(a_4 = -7n + 8\) when \(n = 4\)\(\newline\)\(a_4 = -7(4) + 8\)\(\newline\)\(a_4 = -28 + 8\)\(\newline\)a_4 = 20-20
  5. Find fifth term: Find the fifth term of the sequence, a5a_5. \newlinea5=7n+8a_5 = -7n + 8 when n=5n = 5\newlinea5=7(5)+8a_5 = -7(5) + 8\newlinea5=35+8a_5 = -35 + 8\newline$a_5 = \(-27\)

More problems from Evaluate variable expressions for number sequences