The nth term of a sequence Un=3*2raise to power n-1.write down the first four terms of the sequence
3*1 , 3*2 , 3*4 , 3*8
2
To find the first four terms of the sequence, we can substitute the values of n from 1 to 4 into the formula:
U₁ = 3 * 2^(1-1) = 3 * 2⁰ = 3 * 1 = 3
U₂ = 3 * 2^(2-1) = 3 * 2¹ = 3 * 2 = 6
U₃ = 3 * 2^(3-1) = 3 * 2² = 3 * 4 = 12
U₄ = 3 * 2^(4-1) = 3 * 2³ = 3 * 8 = 24
Therefore, the first four terms of the sequence are: 3, 6, 12, 24.
To find the first four terms of the sequence, we need to substitute the values of n from 1 to 4 into the given formula and calculate each term.
Let's start by substituting n = 1:
U1 = 3 * 2^(1 - 1) = 3 * 2^0 = 3 * 1 = 3
Next, let's substitute n = 2:
U2 = 3 * 2^(2 - 1) = 3 * 2^1 = 3 * 2 = 6
Now, let's substitute n = 3:
U3 = 3 * 2^(3 - 1) = 3 * 2^2 = 3 * 4 = 12
Lastly, we'll substitute n = 4:
U4 = 3 * 2^(4 - 1) = 3 * 2^3 = 3 * 8 = 24
Therefore, the first four terms in the sequence are:
U1 = 3
U2 = 6
U3 = 12
U4 = 24