What is a1 of the arithmetic sequence for which a3=10 and a51=-182.

Step-by-step explanation:

We are asked to find the formula of arithmetic sequence, whose 3rd term is 10 and 51st term is .

We know that an arithmetic sequence is in format , where,

= nth term of sequence,

= 1st term of sequence,

n = Number terms in the sequence.

d = Common difference.

Upon substituting our given values, we will get two equation as:

Subtracting equation (2) from equation (1), we will get:

Switch sides:

Upon substituting in equation (1), we will get:

Upon substituting and in arithmetic sequence formula, we will get:

Therefore, our required formula would be .

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%