Algebra
In an arithmetic sequence, the first term is 2, and the fourth term is 14.
a) Find the common difference, d.
b) Calculate the sum of the first 14 terms, S14
a) 4
b) 392
Let logb2=u, and logb5=v. Find an expression in terms of u and v for:
a) logb10
b) logb25
a) u + v
b) 2v
Find the x3 term in the expansion of (x−2x-1)5.
-10x3
The first 3 terms in a geometric sequence are: k2, −k , k−2.
a) Find the value of k.
b) Find the sum of the terms to infinity.
a) k = 3
b) 6.75
In an arithmetic sequence, the sum of the first 6 terms is 39.75. Also, the 7th term is 1.2 times the 2nd term. Find the S30 .
288.75