what solution of -7,__,__,__,__,117 649​

Answer:To find the missing terms in the sequence -7, __, __, __, __, 117,649, you need to identify the pattern or rule governing the sequence. Given the terms, the sequence appears to be a geometric sequence because the first and last terms suggest exponential growth. To verify and find the missing terms, follow these steps:1. Identify the common ratio (r): The formula for the nth term in a geometric sequence is: an = a1 × r^(n - 1) For the 6th term (117,649) and the first term (-7): a6 = a1 × r^(6 - 1) 117,649 = -7 × r^5 Solve for r^5: r^5 = 117,649 / (-7) r^5 = -16,949.857 To find r, notice that 117,649 is a known power of 11. Testing common ratios: r = 11 -7 × 11^5 = -7 × 161,051 -7 × 11^5 = 117,649 (negative) So, the common ratio is -11.2. Find the missing terms: Using the common ratio of -11, compute the missing terms: a2 = a1 × r^(2 - 1) = -7 × (-11) = 77 a3 = a1 × r^(3 - 1) = -7 × (-11)^2 = -7 × 121 = -847 a4 = a1 × r^(4 - 1) = -7 × (-11)^3 = -7 × -1,331 = 9,317 a5 = a1 × r^(5 - 1) = -7 × (-11)^4 = -7 × 14,641 = -102,487 The missing terms are 77, -847, 9,317, and -102,487.

Answered by writerau19 | 2024-09-09