Find the sum of the first 30 terms of the arithmetic sequence. (Simplify your answer completely.) 16, 22, 28, 34, 40,    S30 =

Q: Decide whether the sequence is arithmetic. Explain?

A: Given sequence,                 3 ,6 ,12 ,24 ,48 ,....

Q: 2. Write the equation for each sequence. 3, 6, 9, 12, 15 b. 5, 7,9, 11 а. с. 3, 6, 11, 18

A: (a)  a1=3=3×1;a2=6=3×2;a3=9=3×3;a4=12=3×4;a5=15=3×5;..an=3×n=3nHence an=3n

Q: Find the missing arithmetic means in each sequence. 4. 12, 4 5.6, -3,_ 6. -7, _9

A:

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: Find the missing terms to complete a given sequence. 4,-8,16, , .

A:

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

A: The given geometric sequence is: 1,2,4,... There are total 32 terms.

Q: Find the next three terms of the sequence. 2, 5, 10, 17, 26,

A:

Q: Write an explicit formula for the sequence. -5, 15, -65, 255, -1025

A:

Q: Fill in the missing terms for the geometric sequence. n 0 1 2 3 An 16 64

A: The objective of the question is to find the missing terms in the geometric sequence. A geometric…

Q: + + + + 4. 5. 6.

A:

Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…