Consider the geometric sequence 4, 40, 400, 4000, ...Determine an explicit formula for the nth term of the sequence.

The explicit formula for the nth term of the sequence will be:[tex]a_{n}= 4.(10)^{n-1}[/tex]Step-by-step explanation:We need to find the explicit formula for the nth term of the sequence :4, 40, 400, 4000, ...In the given sequence First term = a₁ = 4Common ratio = r :40/4 = 10400/40 = 104000/400 = 10So, common ratio = r= 10The formula used to find explicit formula will be:[tex]a_{n}= a_{1}.r^{n-1}[/tex]Putting values in the formula:[tex]a_{n}= a_{1}.r^{n-1}\\a_{n}= 4.(10)^{n-1}[/tex]The explicit formula for the nth term of the sequence will be:[tex]a_{n}= 4.(10)^{n-1}[/tex]Keywords: Explicit formula for geometric sequence Learn more about Explicit formula for geometric sequence at: brainly.com/question/1522572 brainly.com/question/3280369 brainly.com/question/2491745 #learnwithBrainly