Answer:
Answer:
1. a6 = 33,614
2. a7 = 46,875
3. a 30 =0
4. a16 = -98,304
5. a8 = -559,872
Step-by-step explanation:
We will use the equation a_{n} =a_{1} r^{n-1}a
n
=a
1
r
n−1
1. a1 = 2; r = 7; 6th term
a_{6} =2( 7^{6-1})a
6
=2(7
6−1
)
a_{6} =2( 7^5)a
6
=2(7
5
)
a_{6} =2( 16807)a
6
=2(16807)
a6 = 33,614
2. a1 = 3; r = 5; 7th term
a_{7} =3( 5^{7-1})a
7
=3(5
7−1
)
a_{7} =3( 5^{6})a
7
=3(5
6
)
a_{7} =3( 15625)a
7
=3(15625)
a7 = 46,875
3. a1 = 0; r = 4; 30th term
a_{30} =0( 5^{30-1})a
30
=0(5
30−1
)
a_{30} =0( 5^{29})a
30
=0(5
29
)
a_{30} =(0)(86,264,514,923,095,703,125)a
30
=(0)(86,264,514,923,095,703,125)
a 30 =0
4. a1 = -3; r = 2; 16th term
a_{16} =-3( 2^{16-1})a
16
=−3(2
16−1
)
a_{16} =-3( 2^{15})a
16
=−3(2
15
)
a_{16} =-3( 32786)a
16
=−3(32786)
a16 = -98,304
5. a1 = -2; r = 6; 8th term
a_{8} =-2( 6^{8-1})a
8
=−2(6
8−1
)
a_{8} =-2( 6^{7})a
8
=−2(6
7
)
a_{8} =-2( 279936)a
8
=−2(279936)
a8 = -559,872
