Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the first four terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=5n4a_n = 5n - 4\newline_____, _____, _____, _____

Full solution

Q. Find the first four terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=5n4a_n = 5n - 4\newline_____, _____, _____, _____
  1. Find First Term: To find the first term in the sequence, substitute n=1n = 1 into the formula an=5n4a_n = 5n − 4.a1=5(1)4a_1 = 5(1) − 4=54= 5 − 4=1= 1So, the first term a1a_1 is 11.
  2. Find Second Term: To find the second term in the sequence, substitute n=2n = 2 into the formula an=5n4a_n = 5n − 4.a2=5(2)4a_2 = 5(2) − 4=104= 10 − 4=6= 6So, the second term a2a_2 is 66.
  3. Find Third Term: To find the third term in the sequence, substitute n=3n = 3 into the formula an=5n4a_n = 5n − 4.a3=5(3)4a_3 = 5(3) − 4=154= 15 − 4=11= 11So, the third term a3a_3 is 1111.
  4. Find Fourth Term: To find the fourth term in the sequence, substitute n=4n = 4 into the formula an=5n4a_n = 5n − 4.a4=5(4)4a_4 = 5(4) − 4=204= 20 − 4=16= 16So, the fourth term a4a_4 is 1616.

More problems from Evaluate explicit formulas for sequences