What is the sum of the terms of the arithmetic sequence 26 21 16 11?

What is a sequence?

3 , 3, 3,	7 , . . . 7,… 7,…7, comma, point, point, point

How do you solve general terms?

The nth (or general) term of a sequence is usually denoted by the symbol an . a1=2 , the second term is a2=6 and so forth. A term is multiplied by 3 to get the next term. If you know the formula for the nth term of a sequence in terms of n , then you can find any term.

Which of the following equations is a rule for this sequence 6 11/16 21?

Explanation: The sequence follows a rule an+1=an+5 , meaning that each element of the sequence is 5 higher than the previous element. Since the last element you listed is 21, the next element is 21 + 5 = 26.

How do you find the next term in an arithmetic sequence?

In this case, adding 5 5 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n – 1). This is the formula of an arithmetic sequence. Substitute in the values of a1 = 1 a 1 = 1 and d = 5 d = 5. Simplify each term. Tap for more steps… Apply the distributive property. Multiply 5 5 by − 1 – 1.

What is the next number in the sequence 1 2 3 4?

Step by step solution of the sequence is Series are based on square of a number 1 = 12, 4 = 22, 9 = 32, 16 = 42, 25 = 52 ∴ The next number for given series 1, 2, 3, 4, 5 is 6 ∴ Next possible number is 62 = 36

How do you find the common difference of a sequence?

Correct answer: First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. To find the next value, add to the last given number.

What is a constant in arithmetic sequence?

Arithmetic Sequences In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add some value each time… on to infinity.