Let an, a₁, a2, ... be the sequence defined by the following recurrence relation: a=0 ● a=2a₁-1 +3¹ + 5l for i ≥ 1 Prove that a = 7.2n + 3n+1-5n -10 for any nonnegative integer n.

hii! can someone help me with this? thank you!!

How is art beneficial in math? How is this activity math related?

Many graduate school programs in the United States require applicants to take the Graduate Record Exam, also called the GRE. One part of the exam, the GRE-Quantitative test, assesses students' level of quantitative reasoning and thinking - exactly the skills we are building in our class this semester. The highest score possible on the GRE-Quantitative test is a score of 800. Many graduate schools think that a score of 700 or higher on the GRE-Quantitative test shows that the applicant has strong quantitative skills. The table shows the number of people who took the GRE between 2003 and 2006 who had GRE-Quantitative test Scores of 700 or higher. All of the people represented in the table planned to major in one of the two listed areas of the social sciences. a. Complete the table. INTENDED MAJOR GRE-QUANTITATIVE SCORE Below 700 700 to 800 TOTAL Economics 2,143 6,775 Political Science 4,071 19,450 TOTAL 8,703