What is the 10th term of the arithmetic sequence?

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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.
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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.

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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