Question

Given t_4=10 t=4 in an arithmetic sequence, find t_10, t_7 and s_27.

a) t_10 =28 , t_7 = 19 , s_27 = 351
a) t_10 =22 , t_7 = 15 , s_27 = 351
a) t_10 =22 , t_7 = 15 , s_27 = 387
a) t_10 =28 , t_7 = 19 , s_27 = 387

Answer 1

Without the first term and common difference of the arithmetic sequence, we cannot confirm the provided answers for the arithmetic sequence terms t_10 and t_7, or the sum of the first 27 terms, s_27.

Step-by-step explanation:

The student has provided incorrect information regarding the values of an arithmetic sequence and the sum of a series, so we cannot directly validate the given answers for t_10, t_7, or s_27. To find the terms of an arithmetic sequence, we need the first term (t_1) and the common difference d. However, this information has not been provided. To calculate the sum s_n of the first n terms, we also need the first term and common difference. Without this information, we cannot find the desired terms or the sum of the series.

Typically, the nth term of an arithmetic sequence is given by t_n = t_1 + (n - 1)d, and the sum of the first n terms is given by s_n = (n/2)(2t_1 + (n - 1)d). Without the missing pieces, the question cannot be solved.