To find the 35th term of an arithmetic sequence where the first term ( a_1 = -10 ) and the common difference ( d = 4 ), you can use the formula for the ( n )-th term: ( a_n = a_1 + (n-1) \cdot d ). Plugging in the values:
[ a_{35} = -10 + (35-1) \cdot 4 = -10 + 34 \cdot 4 = -10 + 136 = 126. ]
Thus, the 35th term is 126.
a(n) = 7n so a(35) = 245
an = 4n - 14 So a35 = 35*4 - 14 = 140 - 14 = 126
a(1) = 7, a(2) = a(1) + 7, a(3) = a(2) + 7 which = a(1) + 7 + 7 which = 7 + 7 + 7. There are as many multiples of 7 as there are terms, so a(35) = 7 x 35 = 245.
U17 = 7 + 3*16 = 7 + 48 = 55
In mathematics, the common difference refers to the constant amount that is added or subtracted to each term in an arithmetic sequence to get the next term. It is calculated by subtracting any term from the subsequent term in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, since each term increases by 3.
a(n) = 7n so a(35) = 245
an = 4n - 14 So a35 = 35*4 - 14 = 140 - 14 = 126
a(1) = 7, a(2) = a(1) + 7, a(3) = a(2) + 7 which = a(1) + 7 + 7 which = 7 + 7 + 7. There are as many multiples of 7 as there are terms, so a(35) = 7 x 35 = 245.
6
U17 = 7 + 3*16 = 7 + 48 = 55
This is an Arithmetic Series/Sequence. In general the nth term, A(n) = a + (n - 1)d....where a is the 1st term and d is the common difference. In this question, the 1st term equals 1 and the common difference is 4. Then the nth term, A(n) = 1 + (n - 1) x 4 = 1 + 4n - 4 = 4n - 3.
an = an-1 + d term ar-1 = 11 difference d = -11 ar = ar-1 + d = 11 - 11 = 0 The term 0 follows the term 11.
It is a + 8d where a is the first term and d is the common difference.
-8
14112027
100 - 13(4) = 48 or 100 + 13(4) = 152. (It was not stated whether the difference given is [term - preceding term] or [term - succeeding term]. * * * * * The common difference is defined as [term - preceding term] so the first answer is the correct one: 100 - 13*4 = 48
What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48