What is the 10th term of the arithmetic sequence?

Posted on by Author

What is the 10th term of the arithmetic sequence?

As the sum of the first ten terms is −35 that gives us. 10(a1+a102)=−35. As the tenth term is 10 that gives us. 10(a1+102)=−35. ⇒a1+10=−7.

What is ninth term?

The nth term is a formula that enables us to find any term in a sequence. The ‘n’ stands for the term number. We can make a sequence using the nth term by substituting different values for the term number(n).

How do you find the arithmetic mean between 9 and 49?

Detailed Solution

  1. Given: Arithmetic mean of 9 terms = 49. Mean of first 7 terms = 37.
  2. Formula Used: Mean = Sum of terms/Number of terms.
  3. Calculations: Let sum of last 2 terms be x. Sum of all 9 terms = 49 × 9. ⇒ Sum of all 9 terms = 441.
  4. ∴ The mean of last 2 terms is 91. Download Soln PDF. Share on Whatsapp.
READ:   Can industrial designers work as engineer?

How do you find the term of an arithmetic sequence?

Solution: To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

How do you find the nth term of an arithmetic sequence?

If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n – 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n – 1)d]/2

What is the common difference of the tenth and ninth terms?

The common difference of the sequence is the difference of the tenth and ninth terms: . The ninth term of an arithmetic sequence with first term and common difference is , so we set this equal to 87, set , and solve: The eighth and tenth terms of an arithmetic sequence are, respectively, 87 and 99.

READ:   Is Johns Hopkins a good school for math?

How do you find the first term of an arithmetic progression?

The formula for finding n t h term of an arithmetic progression is a n = a 1 + ( n − 1) d , where a 1 is the first term and d is the common difference. The formulas for the sum of first n numbers are S n = n 2 ( 2 a 1 + ( n − 1) d) and S n = n 2 ( a 1 + a n) .

How to find the sum of n terms in a sequence?

1 a n = n th term that has to be found 2 a 1 = 1 st term in the sequence 3 n = Number of terms 4 d = Common difference 5 S n = Sum of n terms