Answer to: The sum of the first 20 terms of an arithmetic sequence with a common difference of 3 is 650. Find the first term. By signing up, you'll...
The sum of the first 10terms of the sequence is 162.(a) Show that 10a+45 d =162Given also that the sixth term of the sequence is 17.(b) write down a secon d equation in a an d d,(c) fin d the value of a an d the value of d. ...
Arithmetic Sequence and Sum Formulas Formula n-th term: an=a1+(n–1)dn-th term: an=a1+(n–1)d Sum of first n terms: Sn=n2[2a1+(n–1)d]Sum of first n terms: Sn=2n[2a1+(n–1)d] Explanation: a1a1 is the first term dd is the common difference nn...
Sum of first 9 terms of an arithmetic sequence is 261, and the sum of next 6 terms is 444. i)- Find the first term and common difference. ii) Write the algebraic form of the sequence: iii) Write the algebraic.form of the sum. ...
FindingthenthTerm •Ifyouwanttofindaterminanarithmeticsequencethatisfarintothe pattern,thereisaformulatouse. a n =a 1 +(n–1)(d) a n =theanswertermyouarelookingforinthesequence a 1 =thefirstterminthesequence n=theordinalnumbertermyouarelookingforinthesequence ...
网络释义 1. 等差数列 等差数列(arithmetic sequence):有 a1 , a2, a3, ….元素的数列,连续项的差都是一个常数,也就是:对每一个i,;例如:数列{2,5,8,11,14… wenwen.soso.com|基于247个网页 2. 等差序列 ACT考试常见数学词汇 - 豆丁网 ... arithmetic progression 等差级数arithmetic sequence等差序列ar...
Find the common difference and the first term in this sequence. 4【题目】In an arithmetic sequence ,the sum of the first 10 te rm sis 100 ,and the sum o fthe firs t20 terms is 250。Find the sum of the first 100 term sin thi ssequence....
Step 2:Find the first term. step 1 n a1 Step 3:Write thenth term formula with the first term and the common difference. Vocabulary and Formula for Expressing the nth Term of an Arithmetic Sequence as a Function of n Based on the Graph ...
4. In an arithmetic sequence, the first term is I and the last term is 25, The sum of all the terms in the sequence is 117. How many terms does the sequence have? 相关知识点: 试题来源: 解析 解:(117 ×2)÷ (1+25)=234 ÷26=9(项)。
Finally, solve the sequence by calculating the nth term or sum of the sequence using those formulas. How do you find the nth term of an arithmetic sequence? The sequence's general term or nth term is calculated using the formula, an=a1+(n-1) d where a1 is the first term, d is a...