* Find the 15th term of Gs8 16 32a=r=n= 95⁵
Answer (1)
Given: - First term a = 8 - Common ratio r = \frac{16}{8} = 2 - Find the 15th term ( n = 15 ) Formula for the n -th term of a geometric sequence: T_n = a \times r^{n-1} Calculation: T_{15} = 8 \times 2^{15-1} = 8 \times 2^{14} Calculate 2^{14} : 2^{14} = 16384 Therefore, T_{15} = 8 \times 16384 = 131072 Answer:The 15th term of the geometric sequence is 131,072.
