Math Problem Statement
Which of the following is true?
A. The tenth term of the sequence 4, 7, 10, 13, … is 30.
B. an = 11 + 6n and an={11,if n=1an−1+6n,if n>1
both define the same sequence. C. The sum of the first 12 terms of the arithmetic series with a1 = −5 and a12 = 232 is 39. D. ∑20i=1(3i−15)=450
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Recursive Sequences
Summation
Arithmetic Series
Formulas
nth term of an arithmetic sequence: an = a1 + (n - 1)d
Sum of an arithmetic series: Sn = n/2(a1 + an)
Summation of linear terms: ∑i=1n(ai + b) = a∑i=1ni + b·n
Theorems
Arithmetic sequence formula
Summation of an arithmetic series
Suitable Grade Level
Grades 10-12
Related Recommendation
Solving Arithmetic Sequence and Series Problems with Step-by-Step Solutions
Solve Problems Using Arithmetic Sequences | Sequence Analysis
Arithmetic Sequence Problems: Finding Terms and Sum
Solve Arithmetic Sequence Problems and Insert Arithmetic Means
Arithmetic Sequence: Find nth Term and Sum of First n Terms