Question

If T1=2 and Tn+1= -2Tn find the first 4 terms and the 10th term

Answer 1

Answer:

first 4 terms = 2,-4,8,-16 ..

10th term = -1024

Step-by-step explanation:

given Tn+1= -2Tn,

T1 = 2

T2 = -2T1 = -4

T3 = -2T2 = 8

T4 = -2T3 = -16

T5 = -2T4 = 32

from above we can infer that Tⁿ = (-1)ⁿ⁺¹ .2ⁿ

Hence T10 = (-1)¹¹.2¹⁰ = -1024