Need help with geometric sequence quick 30 points!!!!

The explicit formula for given geometric sequence is:[tex]a_n = 6 . 5^{n-1}[/tex]Step-by-step explanation:Given geometric sequence is:6,30,150,750....First of all we will find the common ratio. Common ratio is the ratio between two consecutive terms of a geometric sequenceIn the given sequencea1 = 6a2 = 30a3 = 150a4 = 750Now[tex]r=\frac{a_2}{a_1} = \frac{30}{6} = 5\\r=\frac{a_3}{a_2} = \frac{150}{30} = 5[/tex]The explicit formula for geometric sequence is:[tex]a_n = a_1 . r^{n-1}[/tex]Putting the values of a1 and r[tex]a_n = 6 . 5^{n-1}[/tex]Keywords: Geometric sequenceLearn more about geometric sequence at:brainly.com/question/2367554brainly.com/question/2670657#LearnwithBrainly