For a given arithmetic sequence, the 93rd term, ag3, is equal to 479, and the 12th term, a;2, is equal to 74. Find the value of the 40h term, a40

Q: Find the sum of the first eight terms of the sequence 18, -14, 12

A:

Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: a. an=3n+4 Put n=1, 2, 3 & 4, we get a1=31+4=7a2=32+4=10a3=33+4=13a4=34+4=16 Hence the first…

Q: Adiel made a toothpick pattern with 9 toothpicks in the 1st figure, 14 in the 2nd figure, 19 in the…

A: Create a table.

Q: the sequence 1, 5, -8, -2, -30, -20, and -78. Determine the rule pattern/formula of this sequence.

A: We have to form the rule of sequence.

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

A:

Q: Can you see the next number in this sequence: 3, 8, 11, 16?

A: The difference between the first number 3 and second number 8 is 5.The difference between the second…

Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: The first four terms of the sequence  n = 1, 2, 3, 4 a)        an=2n+5 First term: n = 1…

Q: For the arithmetic sequence, find and when a1 4 and d = - 5. %3D a11 an a11 -

A: first term a1 = 4 common difference d =-5

Q: Find S10 for the arithmetic sequence 13,15,17,19,21,23,….

A:

Q: In an arithmetic sequence, as = 3, a10 = 58, find a1.

A: We have given In an arithmetic sequence, a5 = 3, a10 = 58

Q: For a given arithmetic sequence, the 90 term, aon, is equal to 296, and the 6 term, a, is equal Find…

A: Given: a90=296a6=44 To find the 34th term

Q: Insert three numbers between 5 and 80 so as to give five numbers in a geometric sequence.

A: Geometric sequence means ratio of two consecutive number is same.

Q: Find the ninth term of the arithmetic sequence whose first term is 6 and whose common difference is…

A: Given:First term a1=6Common difference d=-5Formula:an=a1+n-1 d

Q: Calculate the next term in the arithmetic sequence that increases by 90, if the current term is 78.

A:

Q: Find the sum of the terms of an arithmetic sequence: 3+ 15+ 27+ 39... +615

A:

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.