Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the first three terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=4n5a_n = -4n - 5\newline__\_\_, __\_\_, __\_\_

Full solution

Q. Find the first three terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=4n5a_n = -4n - 5\newline__\_\_, __\_\_, __\_\_
  1. Find first term: To find the first term of the sequence a1a_1, substitute n=1n = 1 into the formula an=4n5a_n = -4n - 5.\newlineCalculation: a1=4(1)5=45=9a_1 = -4(1) - 5 = -4 - 5 = -9.
  2. Find second term: To find the second term of the sequence a2a_2, substitute n=2n = 2 into the formula an=4n5a_n = -4n - 5.\newlineCalculation: a2=4(2)5=85=13a_2 = -4(2) - 5 = -8 - 5 = -13.
  3. Find third term: To find the third term of the sequence a3a_3, substitute n=3n = 3 into the formula an=4n5a_n = -4n - 5.\newlineCalculation: a3=4(3)5=125=17a_3 = -4(3) - 5 = -12 - 5 = -17.
  4. First three terms: The first three terms of the sequence defined by an=4n5a_n = -4n - 5 are 9-9, 13-13, and 17-17.

More problems from Evaluate explicit formulas for sequences