Activity 1.1 Identify the next three terms of the following geometric sequence.1. a1 = 5; r = 22. a1-6; r = 43. a1 8; r = -3
Answer (1)
Answer:Let’s find the next three terms for each geometric sequence:Step-by-step explanation:For ( a_1 = 5 ) and ( r = 2 ):( a_2 = 5 \times 2 = 10 )( a_3 = 10 \times 2 = 20 )( a_4 = 20 \times 2 = 40 )So, the next three terms are 10, 20, 40.For ( a_1 = -6 ) and ( r = 4 ):( a_2 = -6 \times 4 = -24 )( a_3 = -24 \times 4 = -96 )( a_4 = -96 \times 4 = -384 )So, the next three terms are -24, -96, -384.For ( a_1 = 8 ) and ( r = -3 ):( a_2 = 8 \times (-3) = -24 )( a_3 = -24 \times (-3) = 72 )( a_4 = 72 \times (-3) = -216 )So, the next three terms are -24, 72, -216.
