hi
posted by Anonymous .
What is the sixth term of the arithmetic sequence if the 10th term is 33 and the 15th term is 53.

hi 
Steve
there are 5 terms between T10 and T15, so d=20/5 = 4
T6 = T10  4d = 3316 = 17
Respond to this Question
Similar Questions

Arithmetic Sequence
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term. 
Algebra
True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed … 
Math
what is the 15th term of an arithmetic sequence in which the third term is 1985 and the eighth term in 2015? 
arithmetic
Determining the first three terms of an ArithmetiC progressionof which the (a.)10th term is 31 and the 15th term is 49 (b.)7th term is 3 and 12th term is 3 (c.)5th term is 8 and the 11th term is 28 (d.)9th term is7+9x and d=2x,Show … 
Algebra
The fifth term of an arithmetic sequence is 22 and the 15th term is 62. Find the 100th term and the sum of the first 60 terms 
Math
The 5th term of an arithmetic sequence is 22 and the 15th term is 62. Find the 100th term and the sum of the first 60 terms. 
Math
The 6th term of an arithmetic sequence is 3 times the 2nd term. Prove that the 10th term is twice the 5th term. tn=t1+(n1)d 
maths
The fifth term of an arithmetic sequence is 23 and 12th term is 72. And they say 1. Determine the first three terms of the sequences and the nth term. 2. What is the value of the 10th term. 3. Which term has a value of 268. 
Algebra
I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is … 
mathematics
the 10th term of an arithmetic sequence is equal to the sum of 40 and 5th term.If the 15th term is 127 what is its common difference?