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=2(2)na_n = 2(2)^n\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=2(2)na_n = 2(2)^n\newline_____, _____, _____, _____, _____
  1. Find first term: a1a_1: Find the first term of the sequence, a1a_1.
    a1=2(2)1a_1 = 2(2)^1
    a1=2×2a_1 = 2 \times 2
    a1=4a_1 = 4
  2. Find second term: a2a_2: Find the second term of the sequence, a2a_2.a2=2(2)2a_2 = 2(2)^2a2=2×4a_2 = 2 \times 4a2=8a_2 = 8
  3. Find third term: a3a_3: Find the third term of the sequence, a3a_3.
    a3=2(2)3a_3 = 2(2)^3
    a3=2×8a_3 = 2 \times 8
    a3=16a_3 = 16
  4. Find fourth term: a4a_4: Find the fourth term of the sequence, a4a_4.
    a4=2(2)4a_4 = 2(2)^4
    a4=2×16a_4 = 2 \times 16
    a4=32a_4 = 32
  5. Find fifth term: a5a_5: Find the fifth term of the sequence, a5a_5.
    a5=2(2)5a_5 = 2(2)^5
    a5=2×32a_5 = 2 \times 32
    a5=64a_5 = 64

More problems from Evaluate variable expressions for number sequences