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=5n5a_n = -5n - 5\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=5n5a_n = -5n - 5\newline_____, _____, _____, _____, _____
  1. Find First Term: Find the first term of the sequence, a1a_1.
    an=5n5a_n = -5n - 5
    a1=5(1)5a_1 = -5(1) - 5
    a1=55a_1 = -5 - 5
    a1=10a_1 = -10
  2. Find Second Term: Find the second term of the sequence, a2a_{2}. an=5n5a_{n} = -5n - 5 a2=5(2)5a_{2} = -5(2) - 5 a2=105a_{2} = -10 - 5 a2=15a_{2} = -15
  3. Find Third Term: Find the third term of the sequence, a3a_{3}.
    an=5n5a_{n} = -5n - 5
    a3=5(3)5a_{3} = -5(3) - 5
    a3=155a_{3} = -15 - 5
    a3=20a_{3} = -20
  4. Find Fourth Term: Find the fourth term of the sequence, a4a_{4}.
    an=5n5a_{n} = -5n - 5
    a4=5(4)5a_{4} = -5(4) - 5
    a4=205a_{4} = -20 - 5
    a4=25a_{4} = -25
  5. Find Fifth Term: Find the fifth term of the sequence, a5a_5.
    an=5n5a_n = -5n - 5
    a5=5(5)5a_5 = -5(5) - 5
    a5=255a_5 = -25 - 5
    a5=30a_5 = -30

More problems from Evaluate variable expressions for number sequences